{"id":27,"date":"2023-09-17T11:06:22","date_gmt":"2023-09-17T11:06:22","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9\/"},"modified":"2023-09-17T11:06:22","modified_gmt":"2023-09-17T11:06:22","slug":"%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9\/","title":{"rendered":"\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 (\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u062f\u0627\u0644\u0629)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0623\u0645 \u0644\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u062c\u062f \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0644\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u0627. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-continua\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u064a\u0627\u0646\u064a\u0627. <strong>\u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0647\u064a \u062f\u0627\u0644\u0629 \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u062f\u0648\u0646 \u0625\u0632\u0627\u0644\u0629 \u0642\u0644\u0645 \u0627\u0644\u0631\u0635\u0627\u0635 \u0645\u0646 \u0627\u0644\u0648\u0631\u0642\u0629.<\/strong><\/p>\n<p class=\"has-text-align-center has-medium-font-size\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\"><strong>\u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629<\/strong><\/u> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-continue.webp\" alt=\"\u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629\" class=\"wp-image-1491\" width=\"354\" height=\"255\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0623\u0639\u0644\u0627\u0647 \u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0631\u0633\u0645\u0647\u0627 \u0628\u0636\u0631\u0628\u0629 \u0648\u0627\u062d\u062f\u0629 \u062f\u0648\u0646 \u0631\u0641\u0639 \u064a\u062f\u0643 \u0639\u0646 \u0627\u0644\u0648\u0631\u0642\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u062a\u0645 \u0648\u0636\u0639 \u0634\u0631\u0637 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0633\u0627\u0628\u0642 \u0641\u064a \u062f\u0627\u0644\u0629\u060c \u064a\u0642\u0627\u0644 \u0625\u0646\u0647\u0627 <strong>\u062f\u0627\u0644\u0629 \u0645\u062a\u0642\u0637\u0639\u0629<\/strong> .<\/p>\n<p class=\"has-text-align-center has-medium-font-size\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\"><strong>\u0648\u0638\u064a\u0641\u0629 \u0645\u062a\u0642\u0637\u0639\u0629<\/strong><\/u> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-pointillee.webp\" alt=\"\u0648\u0638\u064a\u0641\u0629 \u0645\u062a\u0642\u0637\u0639\u0629\" class=\"wp-image-1495\" width=\"354\" height=\"262\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0645\u062a\u0642\u0637\u0639\u0629 \u0644\u0623\u0646\u0647 \u0644\u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0639\u0644\u064a\u0643 \u0631\u0633\u0645 \u062e\u0637\u064a\u0646 \u0628\u0627\u0644\u0642\u0644\u0645 \u0627\u0644\u0631\u0635\u0627\u0635. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u062a\u062a\u0648\u0642\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f x=3\u060c \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0644 \u0623\u0646 x=3 \u0647\u064a <strong>\u0646\u0642\u0637\u0629 \u0627\u0646\u0642\u0637\u0627\u0639<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0647\u0646\u0627\u0643 \u062b\u0644\u0627\u062b\u0629 <strong>\u0623\u0646\u0648\u0627\u0639 \u0645\u0646 \u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a<\/strong> : \u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u062a\u062c\u0646\u0628\u0647\u060c \u0648\u0627\u0646\u0642\u0637\u0627\u0639 \u0627\u0644\u0642\u0641\u0632\u0629 \u0627\u0644\u0645\u062d\u062f\u0648\u062f\u0629 \u0627\u0644\u062d\u062a\u0645\u064a\u0629\u060c \u0648\u0627\u0646\u0642\u0637\u0627\u0639 \u0627\u0644\u0642\u0641\u0632\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629 \u0627\u0644\u062d\u062a\u0645\u064a\u0629. \u0648\u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0631\u0649 \u0643\u064a\u0641 \u064a\u0628\u062f\u0648 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0648\u0645\u0627 \u0647\u0648 \u0627\u0644\u0645\u062e\u062a\u0644\u0641 \u0641\u064a \u0643\u0644 \u0645\u0646\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0627\u0654\u0646\u0648\u0627\u0639-\u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a\/\">\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"continuidad-de-una-funcion-en-un-punto\"><\/span> \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u0628\u062f\u0648 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0633\u0646\u0646\u0638\u0631 \u0641\u064a \u0643\u064a\u0641\u064a\u0629 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0623\u0645 \u0644\u0627 \u0645\u0646 \u0627\u0644\u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0631\u064a\u0627\u0636\u064a\u0627\u064b\u060c <strong>\u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0625\u0630\u0627 \u062a\u0645 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:15px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629\u060c \u0623\u064a \u0623\u0646 \u0635\u0648\u0631\u0629 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u0648\u062c\u0648\u062f\u0629.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7292d399b69758819eab74a2aa9afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\exists \\ f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0647\u0646\u0627\u0643 \u062d\u062f \u0644\u0644\u0648\u0638\u064a\u0641\u0629 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629. \u0648\u0645\u0646 \u062b\u0645\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u064a\u0646 \u0627\u0644\u0623\u064a\u0633\u0631 \u0648\u0627\u0644\u0623\u064a\u0645\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0627\u0646.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c4c9431d93839b2511a56583101db46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to a^-} f(x) = \\lim_{x \\to a^+} f(x)  \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black} \\quad \\exists \\lim_{x \\to a} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"413\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u062a\u062a\u0637\u0627\u0628\u0642 \u0635\u0648\u0631\u0629 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u0639 \u062d\u062f \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da2902aa458fe8a9c8234e2be38336c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(a)=\\lim_{x \\to a} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"123\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0625\u0630\u0627 \u062a\u062d\u0642\u0642\u062a \u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0646\u0642\u0627\u0637 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/continuite-dune-fonction-definie-par-morceaux.webp\" alt=\"\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u062f\u0627\u0644\u0629 \u0645\u062d\u062f\u062f\u0629\" class=\"wp-image-201\" width=\"440\" height=\"306\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062a\u0649 \u0644\u0648 \u0642\u0645\u062a \u0628\u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0623\u0642\u0633\u0627\u0645\u060c \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629\u060c \u0644\u0623\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0648\u0623\u0643\u062b\u0631 \u062a\u0637\u0627\u0628\u0642\u064b\u0627 \u0645\u0639 \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f659d88902824c6a762a5ebe2d6db14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x \\to -2^-} f(x)=\\lim\\limits_{x \\to -2^+} f(x)= f(-2)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u064a\u0633\u062a \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2145acc2878ed61214887e120f2485b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0623\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u062a\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u0627\u0646\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f9d62d0c5ddcefe8cc4cbe2daaf6d57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x \\to 4^-} f(x)=3 \\neq \\lim\\limits_{x \\to 4^+} f(x)= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"240\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0628\u0627\u0644\u0642\u0637\u0639 \u062a\u0643\u0648\u0646 \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0645\u0627 \u0639\u062f\u0627 \u0641\u064a<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9ad850560a1ff3e3bb4386cf732d0220_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0627\u0646\u0642\u0637\u0627\u0639.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u062a\u0642\u0637\u0639\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2145acc2878ed61214887e120f2485b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0623\u0646\u0647 \u0644\u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0628\u064a\u0627\u0646\u064a\u0627\u064b \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0625\u0632\u0627\u0644\u0629 \u0642\u0644\u0645 \u0627\u0644\u0631\u0635\u0627\u0635 \u0645\u0646 \u0627\u0644\u0648\u0631\u0642\u0629 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0631\u062d\u0644\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"continuidad-de-funciones-elementales\"><\/span> \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0623\u0648\u0644\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0646\u0648\u0627\u0639 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0645\u0633\u062a\u0645\u0631\u0629 \u062d\u0633\u0628 \u062e\u0635\u0627\u0626\u0635\u0647\u0627:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062b\u0627\u0628\u062a\u0629<\/strong> \u0645\u0633\u062a\u0645\u0631\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062f\u0648\u0627\u0644 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong> \u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3094a01ff9b10acb7c44349cda083025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a_0+a_1x+a_2x^2+a_3x^3+\\dots+a_nx^n\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0643\u0648\u0646 <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0643\u0633\u0631\u064a\u0629)<\/strong> \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631\u060c \u0648\u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0627\u0637 \u062a\u0645\u062b\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0646\u0642\u0637\u0627\u0639\u064b\u0627.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cc33f4306e45701e8bc92457779201d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{p(x)}{q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"93\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0623\u0633\u064a\u0629<\/strong> \u0645\u062a\u0635\u0644\u0629 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73aa6cf687ce5e8c2f9faf41f5614e53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629<\/strong> \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644 \u062d\u062c\u062a\u0647\u0627 \u0645\u0648\u062c\u0628\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d94badc2befa1e0c57a867970b1040aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a (x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629<\/strong> \u060c \u0623\u0648 \u0627\u0644\u062f\u0648\u0627\u0644 \u0630\u0627\u062a \u0627\u0644\u062c\u0630\u0648\u0631\u060c \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0624\u0634\u0631 \u0627\u0644\u062c\u0630\u0631 (n). \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0641\u0647\u0631\u0633 \u0632\u0648\u062c\u064a\u064b\u0627\u060c \u0641\u0647\u0630\u0647 \u062f\u0648\u0627\u0644 \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u062a\u062c\u0639\u0644 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u0630\u0631\u064a\u0629 \u062a\u0633\u0627\u0648\u064a \u0623\u0648 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0635\u0641\u0631. \u0644\u0643\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0624\u0634\u0631 \u0641\u0631\u062f\u064a\u064b\u0627\u060c \u0641\u0647\u0648 \u062f\u0648\u0627\u0644 \u0645\u062a\u0635\u0644\u0629 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca6c3302aac609e9214e62444cfec2bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u0639\u062a\u0645\u062f \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 <strong>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/strong> \u0639\u0644\u0649 \u0646\u0648\u0639 \u0627\u0644\u062f\u0627\u0644\u0629. \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u064a\u0628 \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0645\u0633\u062a\u0645\u0631\u062a\u0627\u0646 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0644\u0643\u0646 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644 \u063a\u064a\u0631 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0627\u0637\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c1c82b94111254bf0771af43a5b4411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\frac{\\pi}{2}+k\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"91\" style=\"vertical-align: -12px;\"><\/p>\n<p> (\u062d\u064a\u062b <em>k<\/em> \u0639\u062f\u062f \u0635\u062d\u064a\u062d). <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a42292efae266c09baade046e8a3cb76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=sen(x)\\qquad f(x)=cos(x)\\qquad f(x)=tg(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-funciones-continuas\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0634\u0648\u0646<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a5054ad96fb0978182340eb214bb125_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"32\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0645\u0633\u062a\u0645\u0631\u062a\u064a\u0646 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c20f4d749ca0651113257e1f1ea66b02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0645\u062c\u0645\u0648\u0639 \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0645\u062a\u0635\u0644\u062a\u064a\u0646<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u0648 \u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0623\u062e\u0631\u0649 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c566932a59271b6e33a784bcf81ee749_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)+g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u062f\u0627\u0644\u062a\u064a\u0646 \u0645\u062a\u0635\u0644\u062a\u064a\u0646<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u064a\u0633\u0627\u0648\u064a \u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0623\u062e\u0631\u0649 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47b381826b8c5e901bf202b6d4b14c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\cdot g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0642\u0633\u0645\u0629 \u062f\u0627\u0644\u062a\u064a\u0646 \u0645\u062a\u0635\u0644\u062a\u064a\u0646<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u064a\u0646\u062a\u062c \u0639\u0646\u0647 \u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0623\u062e\u0631\u0649 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629\u060c \u0645\u0627 \u062f\u0627\u0645\u062a \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0644\u0627 \u062a\u0644\u063a\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0642\u0633\u0645\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5962b35380c55e0089deeac0a98b01fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{f(x)}{g(x)}\\qquad g(a)\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"135\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0646 <strong>\u062a\u0643\u0648\u064a\u0646 \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0645\u062a\u0635\u0644\u062a\u064a\u0646<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0638\u0647\u0648\u0631 \u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0646\u0641\u0633 \u0627\u0644\u0646\u0642\u0637\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba04f43c8995b3659a05f370a10485a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\circ g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u062a\u0643\u0648\u064a\u0646-\u0627\u0644\u0648\u0638\u0627\u064a\u0654\u0641-\u0648\u0638\u064a\u0641\u0629-\u0645\u0631\u0643\u0628\u0629\/\">\u0645\u0627 \u0647\u064a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629\u061f<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-continuidad-de-una-funcion\"><\/span> \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0639\u0644\u0649 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a. \u062d\u062f\u062f \u0623\u064a\u0636\u064b\u0627 \u0646\u0648\u0639 \u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-discontinuites-de-fonctions.webp\" alt=\"\u062d\u0644 \u0627\u0644\u062a\u0645\u0631\u064a\u0646 \u062d\u0627\u0644\u0627\u062a \u0627\u0646\u0642\u0637\u0627\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641\" class=\"wp-image-1433\" width=\"400\" height=\"344\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0644\u0627\u062d\u0638\u0629:<\/strong> \u0644\u062a\u0646\u0641\u064a\u0630 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u0631\u064a\u0646\u060c \u0646\u0648\u0635\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0628\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f\u0647\u0627. \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0627\u0644\u0634\u0631\u062d \u0641\u064a \u0645\u0628\u062f\u0623 \u0631\u0627\u0628\u0637 <u style=\"text-decoration-color:#FF9B28;\">\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u0646\u0642\u0637\u0627\u0639<\/u> . <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0631\u0633\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0631\u0641\u0639 \u0642\u0644\u0645 \u0627\u0644\u0631\u0635\u0627\u0635 \u0639\u0646\u062f x=-2\u060c \u0639\u0646\u062f x=1 \u0648\u0639\u0646\u062f x=4. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u062a\u0642\u0637\u0639\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062b\u0644\u0627\u062b.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f x=-2\u060c \u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0647\u0648 +\u221e \u0648\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0647\u0648 3. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0623\u062d\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u0627\u0646\u0642\u0637\u0627\u0639 \u0642\u0641\u0632 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0644\u0627 \u0645\u0641\u0631 \u0645\u0646\u0647 \u0639\u0646\u062f x=-2.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eff79ace33659ceb8203e6e27f38fe35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2^-} f(x) = +\\infty \\ \\neq \\ \\lim_{x \\to -2^+} f(x) = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"296\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062d\u062f \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=1 \u0647\u0648 0\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=1 \u062a\u0633\u0627\u0648\u064a 2. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0645\u062b\u0644 \u0627\u0646\u0642\u0637\u0627\u0639\u064b\u0627 \u064a\u0645\u0643\u0646 \u062a\u062c\u0646\u0628\u0647 \u0639\u0646\u062f x=1. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a616cc5210984ffeed3525a219dd53a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) =   \\lim_{x \\to 1^+} f(x) = 0 \\ \\bm{\\longrightarrow} \\ \\lim_{x \\to 1} f(x) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"350\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61593bab94da601722d6ae7aedfdb172_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1} f(x) =  0 \\neq  f(0) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f x = 4\u060c \u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0647\u0648 -3 \u0648\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0647\u0648 1. \u0644\u0630\u0644\u0643\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u0627\u0646 \u0648\u0644\u0627 \u064a\u0639\u0637\u064a \u0623\u064a \u0645\u0646\u0647\u0645\u0627 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u062d\u062a\u0645\u0627\u064b \u0627\u0646\u0642\u0637\u0627\u0639 \u0642\u0641\u0632 \u0645\u062d\u062f\u0648\u062f \u0639\u0646\u062f x =4. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b758745a987f927350b2d885009c3a87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 4^-} f(x) = -3 \\ \\neq \\ \\lim_{x \\to 4^+} f(x) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"265\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0641\u064a\u0647\u0627 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a \u063a\u064a\u0631 \u0645\u062a\u0635\u0644\u0629. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-types-de-discontinuites-d-une-fonction.webp\" alt=\"\u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u062d\u0648\u0644 \u0623\u0646\u0648\u0627\u0639 \u0627\u0646\u0642\u0637\u0627\u0639\u0627\u062a \u0627\u0644\u062f\u0627\u0644\u0629\" class=\"wp-image-1435\" width=\"515\" height=\"434\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=6 \u062a\u0646\u0642\u0637\u0639 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u0633\u0628\u0628 \u0648\u062c\u0648\u062f \u0646\u0642\u0637\u0629 \u0645\u0641\u062a\u0648\u062d\u0629. \u0627\u0644\u062d\u062f \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 6 \u0647\u0648 -1.4 \u0644\u0643\u0646 f(6)=1. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u0627\u0646\u0642\u0637\u0627\u0639 \u064a\u0645\u0643\u0646 \u062a\u062c\u0646\u0628\u0647 \u0639\u0646\u062f x=6 \u0644\u0623\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u062f \u0644\u0627 \u062a\u062a\u0637\u0627\u0628\u0642 \u0645\u0639 \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33612be383c71fea04c8c886710f7f10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l} \\displaystyle \\lim_{x \\to 6^-} f(x)=-1,4\\\\[3ex] \\displaystyle \\lim_{x \\to 6^+} f(x)=-1,4 \\end{array} \\right\\} \\bm{\\longrightarrow} \\lim_{x \\to 6} f(x)=-1,4\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"326\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-647b9aea6cc8b605d7e8bc7d5e83ee64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 6} f(x)=-1,4 \\neq f(6)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f x=-3 \u0644\u0627 \u062a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0648\u0644\u0627 \u0634\u064a\u0621 \u064a\u0639\u0637\u064a \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u0627\u0646\u0642\u0637\u0627\u0639 \u0642\u0641\u0632\u0629 \u0645\u062d\u062f\u0648\u062f \u0644\u0627 \u0645\u0641\u0631 \u0645\u0646\u0647 \u0639\u0646\u062f x=-3.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f7d2a2c7abbc525adfcc7576b449f1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -3^-} f(x)=-2 \\neq \\lim_{x \\to -3^+} f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"275\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u0627\u0646\u0642\u0637\u0627\u0639 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0644\u0627 \u0645\u0641\u0631 \u0645\u0646\u0647 \u0639\u0646\u062f x = 3\u060c \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u062d\u062f\u064b\u0627 \u062c\u0627\u0646\u0628\u064a\u064b\u0627 \u0648\u0627\u062d\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89bdb1598b6153cec4e9efce7b0927b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 3^-} f(x)=+\\infty \\qquad \\lim_{x \\to 3^+} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u0644\u064a\u0644 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59ee18262fd6f3427ebab6ceabb22868_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{2}{x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u0645\u062c\u0627\u0644\u0647\u0627 \u0628\u0623\u0643\u0645\u0644\u0647\u060c \u0623\u064a \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0627\u0644\u0645\u0642\u0627\u0645. \u0644\u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0628\u0645\u0633\u0627\u0648\u0627\u0629 \u0645\u0642\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0628\u0627\u0644\u0635\u0641\u0631 \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u062c\u0627\u0644: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-845b4cbd750afedb8e09b0ed6a9809c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"73\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ddab230605c435eb8b7408a736d3e77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96a28ea816d10d62e90dd13ad1aa79c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{5\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 x=5.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u0644\u064a\u0644 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a18e6289d268e6ea9fe1ee3ea14d31fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} 5x-2 &amp; \\text{si} &amp;  x < 1 \\\\[2ex] x^2+2 &amp; \\text{si} &amp; x \\geq 1 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0643\u0630\u0644\u0643 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0623\u0648\u0644\u060c<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e05d9a74362639e610acff0ab2d83b16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0643\u0645\u0627 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u062b\u0627\u0646\u064a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79baa9dfae33805a8e2362cc182fd867_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u060c \u0644\u0623\u0646\u0647\u0627 \u0648\u0638\u0627\u0626\u0641 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062d\u062f\u0648\u062f.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0648\u062d\u064a\u062f\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0647\u0627 \u063a\u064a\u0631 \u0645\u062a\u0635\u0644\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u0642\u0637\u0639 \u0641\u064a\u0647\u0627 \u0627\u0644\u062f\u0627\u0644\u0629 \u062c\u0632\u0626\u064a\u064b\u0627. \u0644\u0630\u0644\u0643 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c84a263e22011d5c8d67c9ee977f98e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) = \\lim_{x \\to 1} (5x-2)=5\\cdot 1-2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"309\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1d1b6f5e109c06114b9e36af6f7078a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^+} f(x) = \\lim_{x \\to 1} (x^2+2)=1^2+2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"293\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u064a\u0646 \u064a\u062a\u0637\u0627\u0628\u0642\u0627\u0646\u060c \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0645\u064a\u0644 x \u0625\u0644\u0649 1 \u062a\u0633\u0627\u0648\u064a 3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a621c7ef999aae5418c2f71da1da67f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) = \\lim_{x \\to 1^+} f(x) = 3 \\ \\bm{\\longrightarrow} \\ \\exists \\lim_{x \\to 1} f(x) = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"360\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0635\u0648\u0631\u0629 x=1 \u0647\u064a \u0623\u064a\u0636\u064b\u0627 3:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61f3e46233f15d71b39af62ae6bfb4eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2+2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0628\u0645\u0627 \u0623\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=1 \u062a\u0633\u0627\u0648\u064a \u0635\u0648\u0631\u0629 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=1. \u0648\u0645\u0646 \u062b\u0645 \u0641\u0647\u064a \u0645\u062a\u0635\u0644\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8cb4559dfddcda3b3c68a5d64eeadcee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(1)=\\lim_{x \\to 1} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"122\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 5<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062f\u0631\u0633 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c43021550a231793494acc2b6eea24d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{2x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u062c\u0630\u0631\u064a\u0629 \u0630\u0627\u062a \u0641\u0647\u0631\u0633 \u0632\u0648\u062c\u064a\u060c \u0644\u0630\u0627 \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0637\u0627\u0644\u0645\u0627 \u0623\u0646 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u062c\u0630\u0631 \u0623\u0643\u0628\u0631 \u0645\u0646 0 (\u0644\u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0639\u062f\u062f \u0633\u0627\u0644\u0628 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d54da4e00c0cc48d43914e9e34b1c1d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"82\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7739f2163d650971be01af6f5a93ae25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x\\ge -6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db29954e4e5815cd2bf4bcbfe4c53145_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge \\cfrac{-6}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfc84780b14328431bcc372ff904772d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge -3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"57\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u0644 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0643\u0628\u0631 \u0645\u0646 \u0623\u0648 \u062a\u0633\u0627\u0648\u064a -3. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0644\u0649 \u0641\u062a\u0631\u0629 \u0645\u062c\u0627\u0644\u0647\u0627: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d2a6678926adfe02dc663e155ec573f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = [-3,+\\infty) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 6<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u0644\u064a\u0644 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2c2073b5212610fcc153bdb47eacccf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_3 (-3x+6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0647\u0630\u0647 \u062f\u0627\u0644\u0629 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629\u060c \u0648\u0644\u064a\u0633 \u0647\u0646\u0627\u0643 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0631\u0642\u0645 \u0633\u0627\u0644\u0628 \u0648\u0644\u0627 \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 0. \u0644\u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0637\u0627\u0644\u0645\u0627 \u0623\u0646 \u0648\u0633\u064a\u0637\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0645\u0648\u062c\u0628\u0629 (\u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0635\u0641\u0631):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-53c23d1b367425e8cfb94fb36235b8f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x+6>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;95&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0183470903eba7ebd08dfcdbf49287e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x>-6&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;78&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c67175fd587232ef7d927f7dfca725f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<\\cfrac{-6}{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0639\u0646\u062f \u0642\u0633\u0645\u0629 \u0639\u062f\u062f \u0633\u0627\u0644\u0628 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0622\u062e\u0631 \u0645\u0646 \u0627\u0644\u0645\u062a\u0631\u0627\u062c\u062d\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0639\u0643\u0633 \u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u062a\u0631\u0627\u062c\u062d\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-88de95669c546ef6d18c28d0579fbe0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"42\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u0644 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0623\u0642\u0644 \u0645\u0646 2. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-505dcdf16c80fdf012163a8800d92836_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = (-\\infty,2) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"144\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0643\u0644 \u0646\u0642\u0637\u0629 \u0641\u064a \u0645\u062c\u0627\u0644\u0647\u0627.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 7<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66e02ab966f87bc29b3791246fbf8032_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{4x-2}{\\sqrt{-2x-8}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"139\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 \u0644\u062f\u064a\u0646\u0627 \u062c\u0630\u0631 \u0630\u0648 \u0641\u0647\u0631\u0633 \u0632\u0648\u062c\u064a\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0633\u062a\u0643\u0648\u0646 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0645\u062d\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u062c\u0630\u0631 \u062a\u0633\u0627\u0648\u064a \u0623\u0648 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0627\u0644\u0635\u0641\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-042efdf7af54fcbec527f0ee83e1b007_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x-8\\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0643\u0646 \u0623\u064a\u0636\u064b\u0627\u060c \u0627\u0644\u062c\u0630\u0631 \u0645\u0648\u062c\u0648\u062f \u0641\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631\u060c \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 0 \u0623\u0628\u062f\u064b\u0627. \u0644\u0630\u0644\u0643 \u0644\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0625\u0644\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062d\u062a\u0648\u0649 \u0627\u0644\u062c\u0630\u0631 \u0623\u0643\u0628\u0631 \u0645\u0646 0 \u062a\u0645\u0627\u0645\u064b\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62002e9d71e0718d04d6d9db08d0e04b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x-8> 0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;95&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-336543c46271685f7d069786d2cf4e12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x>8&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;64&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e4a2af9f53dd0a356211660f770666e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<\\cfrac{8}{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"59\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u0646\u063a\u064a\u0631 \u0623\u0636\u0644\u0627\u0639 \u0639\u062f\u062f \u0633\u0627\u0644\u0628 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u0628\u0627\u064a\u0646\u0629 \u0623\u0648 \u0642\u0633\u0645\u062a\u0647\u0627\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u062a\u062f\u0648\u064a\u0631 \u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0645\u062a\u0628\u0627\u064a\u0646\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee1c9c50b3c39064f9670f06f9bdc8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-4\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"57\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0647\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0623\u0642\u0644 \u0645\u0646 -4. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u062a\u0647\u0627\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00cfb1cb63133c3092854bb810abfce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = (-\\infty,-4) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 8<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 <em>k<\/em> \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0637\u0648\u0627\u0644 \u0627\u0644\u0648\u0642\u062a <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a134e3092861eafea1239dba23bea40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbb{R} .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7d8f0d6e0730c139c3baff0989a8fe7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} kx-1 &amp; \\text{si} &amp;  x \\leq 2 \\\\[2ex] 3x^2 - 5  &amp; \\text{si} &amp; x > 2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;225&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0639\u0637\u064a \u0627\u0644\u062d\u062f\u0627\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0627\u0646 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0627\u0644\u0627\u0646\u0641\u0635\u0627\u0644 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0627\u0644\u0627\u0646\u0643\u0633\u0627\u0631 \u0644\u0644\u062c\u0632\u0621 \u0627\u0644\u0630\u064a \u0644\u0627 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 <em>k<\/em> :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7eff7d699bc801340c66f4fd95c30b2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2^+} f(x) = \\lim_{x \\to 2} (3x^2 - 5) = 3\\cdot 2^2-5=\\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"324\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0645\u062a\u0635\u0644\u0629\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0622\u062e\u0631 \u0623\u064a\u0636\u064b\u0627 \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0640 7.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0627\u0644\u0622\u062e\u0631:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fc80cd47e7fd6cf50b2f2de57c4b40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2^-} f(x) = \\lim_{x \\to 2} (kx-1) = k\\cdot2 -1= 2k-1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"350\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0639\u0637\u064a \u0627\u0644\u062d\u062f\u0627\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0627\u0646 \u0644\u0623\u064a \u0646\u0642\u0637\u0629 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646\u0646\u0627 \u0646\u062c\u0639\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0630\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647 \u0645\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u064a\u0633\u0627\u0648\u064a 7 (\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0627\u0644\u0622\u062e\u0631).<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b99f2f508e7c3f7ab4ebaa9f30638a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k -1= 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u0629 <em>k<\/em> : <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c591d3bbba83f012852966634d0d8234_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k-1 = 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-747038396badd9b1d5e6336cf463fe13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k = 7 +1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa5cd6bc10e8ce9c34542635d995323c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k = 8\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1009397e0b35416230f2a5a3d307755a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k = \\cfrac{8}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"44\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffe7f00b80fc8f5c4961250446632d6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k =4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0623\u0645 \u0644\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u062c\u062f \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0644\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u0627. \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644. \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629\u061f \u064a\u0645\u0643\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0628\u064a\u0627\u0646\u064a\u0627. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9-%d8%a7%d8%b3%d8%aa%d9%85%d8%b1%d8%a7%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d9%88%d8%b8%d9%8a%d9%81%d8%a9\/\"> <span class=\"screen-reader-text\">\u062f\u0627\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629 (\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629 \u062f\u0627\u0644\u0629)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[11],"tags":[],"class_list":["post-27","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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