{"id":380,"date":"2023-07-04T01:25:58","date_gmt":"2023-07-04T01:25:58","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%b1%d8%a3%d8%b3%d9%8a\/"},"modified":"2023-07-04T01:25:58","modified_gmt":"2023-07-04T01:25:58","slug":"%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%b1%d8%a3%d8%b3%d9%8a","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%b1%d8%a3%d8%b3%d9%8a\/","title":{"rendered":"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 (\u0645\u0639 \u0623\u0645\u062b\u0644\u0629). \u0633\u0646\u0634\u0631\u062d \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-asintota-vertical\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0639\u0645\u0648\u062f\u064a \u064a\u0642\u062a\u0631\u0628 \u0631\u0633\u0645\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u062f\u0648\u0646 \u062a\u062c\u0627\u0648\u0632\u0647 \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0644\u0627\u0642.<\/strong> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0647\u064a <em>x=k<\/em> \u060c \u062d\u064a\u062b <em>k<\/em> \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0623\u0646 <strong><em>k<\/em> \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0639\u0645\u0648\u062f\u064a \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u064a\u0642\u062a\u0631\u0628 <em>x<\/em> \u0645\u0646 <em>k<\/em> \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629.<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-verticale.webp\" alt=\"\u0645\u0627 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629\" class=\"wp-image-1281\" width=\"320\" height=\"255\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"como-calcular-la-asintota-vertical-de-una-funcion\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u0627\u062a\u0628\u0627\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0623\u0648\u062c\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644\u060c \u0641\u0644\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u062e\u0637\u0648\u0637 \u0645\u0642\u0627\u0631\u0628\u0629 \u0631\u0623\u0633\u064a\u0629.<\/span><\/li>\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u062d\u0633\u0628 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0627\u0637 \u0644\u064a\u0633\u062a \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u064a\u0639\u0637\u064a \u0641\u064a\u0647\u0627 \u0627\u0644\u062d\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/span><\/li>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0623\u0643\u062b\u0631 \u0645\u0646 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c <u style=\"text-decoration-color:#FF9B28;\">\u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0639\u062f\u062f \u0644\u0627 \u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629.<\/u><\/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\/\u0648\u0638\u064a\u0641\u0629-\u0627\u0644\u0638\u0644\/\">\u062e\u0635\u0627\u0626\u0635 \u062f\u0627\u0644\u0629 \u0627\u0644\u0638\u0644<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asintota-vertical\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0645\u0648\u062f\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0646\u062c\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643:<\/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-0425f9cc254c22f6e28ad2186732cfdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{1}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0634\u0643\u0644 \u0639\u0627\u0645\u060c \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0648\u062c\u062f \u0628\u0647\u0627 \u062e\u0637\u0648\u0637 \u0645\u0642\u0627\u0631\u0628\u0629 \u0631\u0623\u0633\u064a\u0629 \u0644\u0627 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629. \u0644\u0630\u0644\u0643\u060c \u0633\u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646\u0647\u0627 \u062f\u0627\u0644\u0629 \u0639\u0642\u0644\u0627\u0646\u064a\u0629\u060c \u0644\u0630\u0644\u0643 \u0646\u0646\u0638\u0631 \u0625\u0644\u0649 \u0648\u0642\u062a \u0627\u062e\u062a\u0641\u0627\u0621 \u0627\u0644\u0645\u0642\u0627\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \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-e0aacb848a27943fc0e8fba70f545d78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" 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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \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 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-298deba50795b5fc3979441d68ef3ed8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{2\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 <strong>\u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 x=2 \u062e\u0637\u064b\u0627 \u0645\u0642\u0627\u0631\u0628\u064b\u0627 \u0631\u0623\u0633\u064a\u064b\u0627 \u0644\u0644\u062f\u0627\u0644\u0629.<\/strong> \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0630\u0644\u0643\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0646\u0647\u0627\u064a\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-acc5425df8da5bffaa5ee31c29284a86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2} \\frac{1}{x-2}=\\frac{1}{2-2}=\\frac{1}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"220\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0639\u062f\u062f \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0623\u0648 \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0623\u0648 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0639\u0646\u062f\u0645\u0627 \u0646\u062d\u0633\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629\u060c \u0644\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\u060c \u0644\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0647\u0630\u0627 \u064a\u0643\u0641\u064a \u0644\u0644\u0642\u0648\u0644 \u0625\u0646\u0647 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0628\u0645\u0627 \u0623\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 2 \u062a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c <strong>\u0641\u0625\u0646 x=2 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u0645\u062b\u0644\u0629 \u0628\u064a\u0627\u0646\u064a\u0627. \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0647\u0648 \u064a\u0642\u062a\u0631\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637 x=2 (\u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0648\u0627\u0644\u064a\u0645\u064a\u0646) \u0648\u0644\u0643\u0646\u0647 \u0644\u0627 \u064a\u062a\u0642\u0627\u0637\u0639 \u0645\u0639\u0647 \u0623\u0628\u062f\u064b\u0627 \u0644\u0623\u0646\u0647 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-verticale.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\" class=\"wp-image-1294\" width=\"431\" height=\"382\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 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-bae3e5d8a91ed8bfd4d59e8cf2b2e046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2^-} \\frac{1}{x-2} = -\\infty \\qquad  \\lim_{x \\to 2^+} \\frac{1}{x-2} = +\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"320\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-asintotas-verticales\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\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\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \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-911fac1ac9244ceb5c6bff7e4bd14633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{3x-1}{2x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" 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\"> \u0644\u0627 \u062a\u0648\u062c\u062f \u0635\u064a\u063a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u0644\u0643\u0646 \u0639\u0644\u064a\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0648\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u0644\u0645 \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629\u060c \u062d\u064a\u062b \u064a\u0639\u0637\u064a \u0627\u0644\u062d\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062c\u0639\u0644 \u0645\u0642\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u064a\u0633\u0627\u0648\u064a 0 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \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-eda4c745b07ad63c3060964038aebf0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x -1 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" 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-0323089c11e731c307ef7664ecb6710b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x= 1\" 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-971df94c9decb86065329338ff4b81ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"45\" style=\"vertical-align: -12px;\"><\/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 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \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 x=1\/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-d45cfed65d2da3a61311dce298a529a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{ \\cfrac{1}{2} \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"149\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 x=1\/2 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062e\u0637\u064b\u0627 \u0645\u0642\u0627\u0631\u0628\u064b\u0627 \u0631\u0623\u0633\u064a\u064b\u0627. \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0630\u0644\u0643\u060c \u0646\u062d\u0633\u0628 \u0646\u0647\u0627\u064a\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-55047465393cc2a65a7214fa64eac93d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to \\frac{1}{2} } \\cfrac{3x-1}{2x-1} = \\cfrac{3\\cdot\\cfrac{1}{2}-1}{2\\cdot\\cfrac{1}{2}-1} = \\cfrac{ \\cfrac{3}{2} -1 }{\\cfrac{2}{2} -1 } = \\cfrac{ \\cfrac{1}{2} }{1-1}=\\cfrac{\\cfrac{1}{2}}{0} =\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"84\" width=\"383\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 <strong>x=1\/2 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a<\/strong> \u060c \u0644\u0623\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u062a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/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\"> \u0627\u0628\u062d\u062b \u0639\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\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-cc3badbfcece4b7976d30989606ca685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{2x+1}{x^2-9}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" 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\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u062c\u0639\u0644 \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631 \u064a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627 \u0644\u0646\u0631\u0649 \u0623\u064a \u0627\u0644\u0642\u064a\u0645 \u0644\u064a\u0633\u062a \u0641\u064a \u0645\u062c\u0627\u0644 \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-ce55adbc277e9378607d68bce8ef19fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0643\u0627\u0645\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-05112cb5a98f653cd1920fb40e5ef9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" 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-0505454de5d542ace3e698cb903893ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\pm 3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/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 \u0645\u062c\u0627\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\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-c91231eb4c883e8c625dba58f070307f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{3, -3\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"168\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u062a\u062d\u062f\u064a\u062f \u0623\u064a \u0645\u0646 \u0647\u0627\u062a\u064a\u0646 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 \u0647\u064a \u062e\u0637\u0648\u0637 \u0645\u0642\u0627\u0631\u0628\u0629 \u0631\u0623\u0633\u064a\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0644 \u0642\u064a\u0645\u0629 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0643\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-1a56d9ceafa2628b7a80603109ceafc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 3}\\frac{2x+1}{x^2-9}=\\frac{2\\cdot3+1}{3^2-9}=\\frac{7}{9-9}=\\frac{7}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"317\" 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-944d84ad3ab51829df2623a4467cc16a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to -3}\\frac{2x+1}{x^2-9}=\\frac{2\\cdot(-3)+1}{(-3)^2-9}=\\frac{-5}{9-9}=\\frac{-5}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"369\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u0627\u0646 \u064a\u0639\u0637\u064a\u0627\u0646 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u0630\u0627 <strong>\u0641\u0625\u0646 x=3 \u0648 x=-3 \u0647\u0645\u0627 \u0627\u0644\u062e\u0637\u0627\u0646 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0627\u0646 \u0627\u0644\u0631\u0623\u0633\u064a\u0627\u0646 \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0634\u0643\u0644\u0629<\/strong> .<\/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\"> \u0623\u0648\u062c\u062f\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0643\u060c \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \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-1dd8356a2f682824a334f15826b31c89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{x+3}{x^2+2x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"150\" style=\"vertical-align: -14px;\"><\/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\/\u0635\u0641\u0631-\u0628\u064a\u0646-\u0635\u0641\u0631-0-0-\u0639\u062f\u0645-\u0627\u0644\u062a\u062d\u062f\u064a\u062f\/\">\u0635\u0641\u0631 \u0628\u064a\u0646 \u0635\u0641\u0631 \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f<\/a><\/span> <\/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\"> \u0623\u0648\u0644\u0627\u064b\u060c \u0646\u0642\u0648\u0645 \u0628\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\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-d5c5fd813f4a2456efa315766ad90ced_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" 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-9b2170358d5d1719077695aba5afa02e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle x&amp;=\\cfrac{-b\\pm\\sqrt{b^2-4ac}}{2a}=\\cfrac{-2\\pm\\sqrt{2^2-4\\cdot1\\cdot(-3)}}{2\\cdot1}=\\\\[3ex]\\displaystyle &amp;=\\cfrac{-2\\pm\\sqrt{16}}{2}=\\cfrac{-2\\pm 4}{2}=\\begin{cases}\\cfrac{-2+4}{2}=1\\\\[3ex]\\cfrac{-2-4}{2}=-3\\end{cases}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"172\" width=\"396\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0645\u062c\u0627\u0644 \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-fd230a1caa7456bca8746870a6d0264a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{1, -3\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"168\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u064b\u0627 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \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-3784526cad2b36766a213c13a5938c6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\frac{x+3}{x^2+2x-3}=\\frac{1+3}{1^2+2\\cdot 1-3}=\\frac{4}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"328\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0646\u062d\u0644 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u062a\u062c\u0647 x \u0646\u062d\u0648 -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-f0e96a48986cd110e04058e3545290a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x \\to -3}\\frac{x+3}{x^2+2x-3}=\\frac{-3+3}{(-3)^2+2\\cdot(-3)-3}=\\frac{0}{0}=\\\\[3ex]\\displaystyle =\\lim_{x \\to -3}\\frac{\\cancel{x+3}}{(x-1)\\cancel{(x+3)}}=\\lim_{x \\to -3}\\frac{1}{x-1}=\\frac{1}{-3-1}=-\\frac{1}{4}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"94\" width=\"413\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u062a\u0639\u0637\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0639\u064a\u0646\u0629 \u0635\u0641\u0631 \u0628\u064a\u0646 \u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0644\u062d\u0644\u0647\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u0644\u064a\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f. <u style=\"text-decoration-color:#FF9B28;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0644\u062f\u064a\u0643 \u0623\u064a \u0634\u0643\u0648\u0643 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0627\u0644\u0634\u0631\u062d \u0627\u0644\u0643\u0627\u0645\u0644 \u0644\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062e\u0627\u0635 \u0628\u0628\u064a\u0627\u0646 \u0627\u0644\u062a\u0645\u0631\u064a\u0646.<\/u><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0641\u0642\u0637 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=1 \u0647\u064a \u0627\u0644\u062a\u064a \u062a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>x=1 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0627\u0644\u0648\u062d\u064a\u062f \u0644\u0644\u062f\u0627\u0644\u0629<\/strong> .<\/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>\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 (\u0645\u0639 \u0623\u0645\u062b\u0644\u0629). \u0633\u0646\u0634\u0631\u062d \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u061f \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0639\u0645\u0648\u062f\u064a \u064a\u0642\u062a\u0631\u0628 \u0631\u0633\u0645\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u062f\u0648\u0646 \u062a\u062c\u0627\u0648\u0632\u0647 \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0644\u0627\u0642. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%b1%d8%a3%d8%b3%d9%8a\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0631\u0623\u0633\u064a<\/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-380","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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