{"id":377,"date":"2023-07-04T05:10:26","date_gmt":"2023-07-04T05:10:26","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af-%d8%a7%d9%84%d8%ac%d8%a7%d9%86%d8%a8%d9%8a%d8%a9\/"},"modified":"2023-07-04T05:10:26","modified_gmt":"2023-07-04T05:10:26","slug":"%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af-%d8%a7%d9%84%d8%ac%d8%a7%d9%86%d8%a8%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ad%d8%af%d9%88%d8%af-%d8%a7%d9%84%d8%ac%d8%a7%d9%86%d8%a8%d9%8a%d8%a9\/","title":{"rendered":"\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\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\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 (\u0645\u0639 \u0627\u0644\u0623\u0645\u062b\u0644\u0629). \u0646\u062d\u0646 \u0646\u0639\u0644\u0645\u0643 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0648\u0627\u0644\u064a\u0645\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0628\u064a\u0627\u0646\u064a\u064b\u0627 \u0648\u0639\u062f\u062f\u064a\u064b\u0627. \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 \u0645\u0646 \u062e\u0644\u0627\u0644 \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 \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-laterales\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u062a\u062f\u0631\u0633 \u0633\u0644\u0648\u0643 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u062d\u0648\u0644 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. \u0647\u0646\u0627\u0643 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0627\u0644\u0623\u064a\u0633\u0631 \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0627\u0644\u0623\u064a\u0645\u0646\u060c \u0648\u0627\u0644\u0630\u064a \u064a\u062d\u0644\u0644 \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0625\u0644\u0649 \u064a\u0633\u0627\u0631 \u0648\u064a\u0645\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u064a. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"limites-laterales-por-la-izquierda-y-por-la-derecha\"><\/span> \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u064a\u0633\u0627\u0631 \u0648\u0627\u0644\u064a\u0645\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0641\u064a \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0641\u0625\u0646 \u0647\u0646\u0627\u0643 \u0646\u0648\u0639\u064a\u0646: \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0648\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0627\u0644\u064a\u0645\u0646\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u064a\u0633\u0631 \u0644\u0644\u062f\u0627\u0644\u0629 \u0628\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0637\u0631\u062d \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062a\u0645 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0625\u0644\u0649 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u064a\u0645\u0646 \u0628\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0632\u0627\u0626\u062f. <\/p>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-129\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong><u style=\"text-decoration-color:#FF9B28;\">\u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631<\/u><\/strong> <\/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-3224554094b2418a485786bfbe4db5f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^{\\color{orange}\\bm{-}\\color{black}}}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"141\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\" style=\";text-align:right;direction:rtl\"> <strong><u style=\"text-decoration-color:#FF9B28;\">\u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646<\/u><\/strong><\/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-9e2e49ad15a0b5fd2db93797689ea1b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^{\\color{orange}\\bm{+}\\color{black}}}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"141\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0641\u0647\u0645 \u0645\u0639\u0646\u0649 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644: <\/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\/limites-laterales.webp\" alt=\"\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\" class=\"wp-image-823\" width=\"299\" height=\"314\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0630\u064a \u062a\u0645 \u062d\u0633\u0627\u0628\u0647\u0627 \u0639\u0644\u064a\u0647.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u062a\u0642\u062a\u0631\u0628 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 3 \u0639\u0646\u062f\u0645\u0627 \u064a\u0642\u062a\u0631\u0628 x \u0645\u0646 2 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0623\u062e\u0630 \u0642\u064a\u0645\u064b\u0627 \u0623\u0642\u0631\u0628 \u0625\u0644\u0649 3 \u0639\u0646\u062f\u0645\u0627 \u064a\u0642\u062a\u0631\u0628 <em>x<\/em> \u0645\u0646 x=2 \u0645\u0646 \u064a\u0633\u0627\u0631\u0647\u0627.<\/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\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=2 \u0628\u0627\u0644\u062e\u0637 \u064a\u0633\u0627\u0648\u064a 6. \u0644\u0623\u0646\u0646\u0627 \u0625\u0630\u0627 \u0627\u0642\u062a\u0631\u0628\u0646\u0627 \u0645\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 x=2 \u0628\u062e\u0637\u0647\u0627\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0623\u062e\u0630 \u0642\u064a\u0645\u064b\u0627 \u0623\u0642\u0631\u0628 \u0641\u0623\u0642\u0631\u0628 \u0625\u0644\u0649 f(x)= 6.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0639\u0644\u0645 \u0623\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0647\u0627 \u0646\u0641\u0633 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u0639\u0627\u062f\u064a\u0629. \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0643 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0647\u064a \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062d\u062f\u0648\u062f:<\/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\/\u062e\u0635\u0627\u064a\u0654\u0635-\u0642\u0648\u0627\u0646\u064a\u0646-\u0627\u0644\u062d\u062f\u0648\u062f\/\">\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062d\u062f\u0648\u062f<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"limites-laterales-iguales\"><\/span>\u062d\u062f\u0648\u062f \u062c\u0627\u0646\u0628\u064a\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u0631\u0623\u064a\u0646\u0627 \u0644\u0644\u062a\u0648 \u0645\u062b\u0627\u0644\u0627\u064b \u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0648\u0644\u0643\u0646&#8230; \u0645\u0627\u0630\u0627 \u064a\u062d\u062f\u062b \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0645\u062a\u0645\u0627\u062b\u0644\u0629\u061f<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0625\u0630\u0627 \u0643\u0627\u0646 \u0643\u0644\u0627 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u064a\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0645\u0648\u062c\u0648\u062f\u064a\u0646 \u0648\u0645\u062a\u0633\u0627\u0648\u064a\u064a\u0646<\/strong> \u060c \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u062a\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u062a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627\u060c \u064a\u062c\u0628 \u0627\u0633\u062a\u064a\u0641\u0627\u0621 \u0627\u0644\u0634\u0631\u0637 \u0627\u0644\u062a\u0627\u0644\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-1d596fffab33786b9af4466210642acf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^-}f(x)=\\lim_{x\\to a^+}f(x)=L \\ \\iff \\ \\lim_{x\\to a}f(x)=L\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"378\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0623\u0646 \u0648\u062c\u0648\u062f \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u0648 \u0634\u0631\u0637 \u0623\u0633\u0627\u0633\u064a \u0644\u062a\u0643\u0648\u0646 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629-\u0627\u0644\u0648\u0638\u064a\u0641\u0629-\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u0629-\u0627\u0644\u0648\u0638\u064a\u0641\u0629\/\">\u062f\u0627\u0644\u0629 \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627<\/a><\/span> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0646\u062d\u0644 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u0646\u0643\u0645\u0644 \u0641\u0647\u0645 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\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=\"\" class=\"wp-image-201\" width=\"429\" height=\"299\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=-2 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0628\u064a\u0627\u0646\u064a\u0627\u060c \u062d\u064a\u062b \u0623\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0645\u064a\u0644 \u0646\u062d\u0648 3 \u0633\u0648\u0627\u0621 \u0627\u0642\u062a\u0631\u0628\u0646\u0627 \u0645\u0646 x=-2 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0623\u0648 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=-2 \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-b7e7a7ee82b827ba469558c38fc81a45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^-}f(x)=\\lim_{x\\to -2^+}f(x)=3 \\ \\longrightarrow \\ \\lim_{x\\to -2}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"389\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=4 \u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u062a\u0642\u062a\u0631\u0628 \u0645\u0646 f(x)=3 \u0648\u0644\u0643\u0646 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 \u062a\u0642\u062a\u0631\u0628 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 f(x)=2. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f\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-a3a52e97ba4cff3c4cd84977fb27db89_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)=2 \\ \\longrightarrow \\ \\cancel{\\exists} \\ \\lim_{x\\to 4}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"374\" 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=\"calculo-de-limites-laterales\"><\/span> \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0633\u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 \u0639\u062f\u062f\u064a\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062d\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u062a\u0627\u0644\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-42104fdcfcbc6e35486c13774c7288ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2}\\frac{3}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"74\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0643\u0627\u0644\u0645\u0639\u062a\u0627\u062f\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 0:<\/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-d98b33a08f3017676e2271bdb0b325d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2}\\frac{3}{x-2}=\\frac{3}{2-2}=\\frac{3}{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\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0639\u0646\u062f \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\u060c \u0644\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0623\u064a \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\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-df0f7477f84abd22a805c7cf70300f16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\ \\color{red}\\bm{?}\\color{black} \\qquad \\lim_{x\\to 2^+}\\frac{3}{x-2}=\\ \\color{red}\\bm{?}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"378\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0639\u0646\u062f x=2\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0623\u062e\u0630 \u0631\u0642\u0645\u064b\u0627 \u0623\u0635\u063a\u0631 \u0645\u0646 x=2 \u0648\u0644\u0643\u0646\u0647 \u0642\u0631\u064a\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646\u0647\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 x=1.999.<\/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-e3cc43d40eb552932818635f1abcd310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{\\color{red}\\bm{1,999}\\color{black}-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"252\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0642\u0627\u0645 \u0631\u0642\u0645\u064b\u0627 \u0633\u0627\u0644\u0628\u064b\u0627 \u0628\u0642\u064a\u0645\u0629 \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0648\u0644\u0643\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u062d\u062a\u0649 \u0635\u0641\u0631\u064b\u0627\u060c \u0648\u0639\u0627\u062f\u0629\u064b \u0645\u0627 \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647 \u0628\u0635\u0641\u0631 \u0648\u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u0637\u0631\u062d \u0623\u0645\u0627\u0645\u0647:<\/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-32da1df64469d97474fd1b9e25efcd31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{1,999-2}=\\frac{3}{\\color{red}\\bm{-0}\\color{black}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"302\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0647\u064a \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u0623\u0646 \u0623\u064a \u0639\u062f\u062f \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 0 \u064a\u0639\u0637\u064a \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0648\u0645\u0648\u062c\u0628 \u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u0649 \u0633\u0627\u0644\u0628 \u064a\u0639\u0637\u064a \u0633\u0627\u0644\u0628:<\/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-44072ab37d2d34b0a1cf8655d4b576c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{1,999-2}=\\frac{3}{-0}=\\color{red}\\bm{-\\infty}\\color{black}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"358\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0642\u062a\u0631\u0628 \u0645\u0646 \u0646\u0627\u0642\u0635 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0635\u0648\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0642\u064a\u0645 \u0623\u0642\u0631\u0628 \u0625\u0644\u0649 x=2 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\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-97d799f09c2e0890cf3a856bf9c711a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(1,9)=\\cfrac{3}{1,9-2}=-30\\\\[2ex]f(1,99)=\\cfrac{3}{1,99-2}=-300\\\\[2ex]f(1,999)=\\cfrac{3}{1,999-2}=-3000\\\\[2ex]f(1,9999)=\\cfrac{3}{1,9999-2}=-30000\\\\[2ex]f(1,99999)=\\cfrac{3}{1,99999-2}=-300000\\end{array}\\\\[16ex]\\vdots\\\\[1.5ex] f(2^-)=-\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"317\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u0646\u0641\u0633 \u0627\u0644\u0645\u0646\u0637\u0642: \u0646\u0623\u062e\u0630 \u0642\u064a\u0645\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 2 \u0648\u0644\u0643\u0646\u0647\u0627 \u0642\u0631\u064a\u0628\u0629 \u062c\u062f\u064b\u0627\u060c \u0645\u062b\u0644 2001.<\/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-21cbd07eef353c53bdfa09eaceb6bd25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^+}\\frac{3}{x-2}=\\frac{3}{2,001-2}=\\frac{3}{+0}=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"292\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062a\u062c\u0647 \u0646\u062d\u0648 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0635\u0648\u0631 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0642\u064a\u0645 \u0623\u0642\u0631\u0628 \u0648\u0623\u0642\u0631\u0628 \u0625\u0644\u0649 x=2 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\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-e6d448cdad3ac6ba82e749b30d2bcc11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(2,1)=\\cfrac{3}{2,1-2}=30\\\\[2ex]f(2,01)=\\cfrac{3}{2,01-2}=300\\\\[2ex]f(2,001)=\\cfrac{3}{2,001-2}=3000\\\\[2ex]f(2,0001)=\\cfrac{3}{2,0001-2}=30000\\\\[2ex]f(2,00001)=\\cfrac{3}{2,00001-2}=300000\\end{array}\\\\[16ex]\\vdots\\\\[1.5ex] f(2^+)=+\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"317\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0631\u0649 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u062a\u062d\u0644\u064a\u0644\u0647\u0627. \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2 \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0647\u0648 \u0633\u0627\u0644\u0628 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0648\u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=2 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u0647\u0648 \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\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\/representation-graphique-dune-fonction-de-proportionnalite-inverse.webp\" alt=\"\" class=\"wp-image-166\" width=\"508\" height=\"514\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-limites-laterales\"><\/span> \u062a\u0645 \u0625\u0635\u0644\u0627\u062d \u0645\u0634\u0643\u0644\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\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\"> \u0623\u0648\u062c\u062f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u064a\u062a\u063a\u064a\u0631 \u0641\u064a\u0647\u0627 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 (x=-2 \u0648x=4). <\/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\/exercices-resolus-de-fonctions-definies-par-parties.webp\" alt=\"\" class=\"wp-image-209\" width=\"395\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/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\"> \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0627 \u062a\u062a\u0637\u0627\u0628\u0642 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=-2\u060c \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u062a\u062a\u062c\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u0646\u062d\u0648 f(x)=5\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062b\u0627\u0628\u062a\u0629 \u0648\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-36fbddc8f36db5a92d77dd9e9b3b81ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^-}f(x)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"118\" 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-8e153627ce1a29511f502c30bd599a6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^+}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"119\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0623\u064a\u0636\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 4. \u062a\u0642\u062a\u0631\u0628 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0645\u0646 3 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631\u060c \u0648\u0644\u0643\u0646\u0647\u0627 \u062a\u0642\u062a\u0631\u0628 \u0645\u0646 -2 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\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-c590b4da48c82d7a43ef65e89b3e9977_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^-}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"109\" 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-a4d4c175b4f2e5ecfe44fb41fe420820_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^+}f(x)=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"121\" 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 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 3 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0623\u0645\u0631 \u0643\u0630\u0644\u0643\u060c \u0641\u0645\u0627 \u0642\u064a\u0645\u062a\u0647\u0627. <\/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\/limites-laterales-dune-fonction-par-morceaux.webp\" alt=\"\u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\" class=\"wp-image-866\" width=\"337\" height=\"303\" srcset=\"\" sizes=\"auto, \"><\/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\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u062a\u0643\u0648\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 x=3 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0648\u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u0629\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0645\u064a\u0644 \u0646\u062d\u0648 \u0646\u0641\u0633 \u0627\u0644\u0642\u064a\u0645\u0629 (f(x)=3) \u0633\u0648\u0627\u0621 \u062a\u0645 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u0645\u0646\u0647\u0627 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0623\u0648 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 . \u062c\u0627\u0646\u0628\u0647 \u0627\u0644\u0623\u064a\u0645\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-d8f2aea7db3ddf52e74f09960dd15629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^-}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"109\" 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-6ee9606c4d6e820e4ac3bb5fa5aa3575_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^+}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"108\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0630\u0644\u0643\u060c \u0648\u0648\u0641\u0642\u0627\u064b \u0644\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u0646\u0647\u0627\u064a\u0629\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 3 \u062a\u0633\u0627\u0648\u064a 3\u060c \u0644\u0623\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u064a\u0646 \u0639\u0646\u062f \u0646\u0641\u0633 \u0627\u0644\u0646\u0642\u0637\u0629 \u064a\u062a\u0637\u0627\u0628\u0642\u0627\u0646 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\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-f82de582de8671680e14cfbf92001010_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^-}f(x)=\\lim_{x\\to 3^+}f(x)=3 \\ \\longrightarrow \\ \\lim_{x\\to 3}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"357\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=3 \u0647\u064a 3\u060c \u0625\u0644\u0627 \u0623\u0646\u0647 \u064a\u062c\u0628 \u0627\u0644\u0623\u062e\u0630 \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0644\u064a\u0633\u062a 3\u060c \u0628\u0644 f(3)=7. \u0648\u0643\u0645\u0627 \u0633\u0646\u0631\u0649 \u0644\u0627\u062d\u0642\u0627\u064b\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u064a\u0633\u062a \u0645\u062a\u0635\u0644\u0629 \u0639\u0646\u062f x=3\u060c \u0628\u0644 \u0644\u0647\u0627 \u0627\u0646\u0642\u0637\u0627\u0639 \u064a\u0645\u0643\u0646 \u062a\u062c\u0646\u0628\u0647.<\/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\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0646\u0642\u0637\u0629 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-b5eff7e2ff1b4df8ee2ec49b7db80a18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{-2x+3}{x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"132\" 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\u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u062a\u062c\u0647 x \u0646\u062d\u0648 4 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631\u060c \u0646\u0623\u062e\u0630 \u0642\u064a\u0645\u0629 \u0623\u0642\u0644 \u0645\u0646 4 \u0648\u0644\u0643\u0646\u0647\u0627 \u0642\u0631\u064a\u0628\u0629 \u062c\u062f\u064b\u0627 \u0645\u0646\u0647\u0627\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 3,999:<\/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-845fc23ff2883308a9b535c84cd69d83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^-}\\frac{-2x+3}{x-4}=\\frac{-2\\cdot 3,999+3}{3,999-4}=\\frac{-4,998}{-0}=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"385\" style=\"vertical-align: -16px;\"><\/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 \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 4 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0647\u0648 \u0632\u0627\u0626\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\u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646\u062f\u0645\u0627 \u064a\u0645\u064a\u0644 x \u0646\u062d\u0648 4 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646\u060c \u0646\u0642\u064a\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0642\u064a\u0645\u0629 \u0623\u0643\u0628\u0631 \u0645\u0646 4 \u0648\u0644\u0643\u0646\u0647\u0627 \u0642\u0631\u064a\u0628\u0629 \u062c\u062f\u064b\u0627 \u0645\u0646\u0647\u0627\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 4,001:<\/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-ef680d721aae4b9b993bbc65542d5d2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^+}\\frac{-2x+3}{x-4}=\\frac{-2\\cdot 4,001+3}{4,001-4}=\\frac{-5,002}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"385\" style=\"vertical-align: -16px;\"><\/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 \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 x \u0645\u0646 4 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 \u0647\u0648 \u0633\u0627\u0644\u0628 \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\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u0625\u0646 \u0648\u062c\u062f\u062a\u060c \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0639\u0631\u0641\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-40d5632016e70b9d9ab8e46e76e0102b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} x^2-3 &amp; \\text{si} &amp;  x \\leq 2 \\\\[2ex]\\displaystyle \\frac{-3x+5}{x-3} &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;75&#8243; width=&#8221;235&#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\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0637\u0644\u0628 \u0645\u0646\u0627 \u0628\u064a\u0627\u0646 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u063a\u064a\u0631 \u0641\u064a\u0647\u0627 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u060c \u0644\u0630\u0627 \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062b\u0627\u0646\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-312aa6dc645115b9d1a680ef3cc5fb9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}f(x)=\\lim_{x\\to 2^-}(x^2-3)=2^2-3=1\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"303\" 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-cad9d8ff045408344a1435ec6441aa73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^+}f(x)=\\lim_{x\\to 2^+}\\frac{-3x+5}{x-3}=\\frac{-3\\cdot 2+5}{2-3}=\\frac{-1}{-1}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"392\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f x=2 \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u062a\u062a\u0637\u0627\u0628\u0642 \u0645\u0639 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0648\u062a\u0633\u0627\u0648\u064a 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-fe286d19fdb8b3f5859e8073869660ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}f(x)=\\lim_{x\\to 2^+}f(x)=1 \\ \\longrightarrow \\ \\lim_{x\\to 2}f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"356\" 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","protected":false},"excerpt":{"rendered":"<p>\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a \u0644\u0644\u062f\u0627\u0644\u0629 (\u0645\u0639 \u0627\u0644\u0623\u0645\u062b\u0644\u0629). \u0646\u062d\u0646 \u0646\u0639\u0644\u0645\u0643 \u0623\u064a\u0636\u064b\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0627\u0644\u064a\u0633\u0631\u0649 \u0648\u0627\u0644\u064a\u0645\u0646\u0649 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0628\u064a\u0627\u0646\u064a\u064b\u0627 \u0648\u0639\u062f\u062f\u064a\u064b\u0627. \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 \u0645\u0646 \u062e\u0644\u0627\u0644 \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 \u0644\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629\u061f \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627 \u062a\u062f\u0631\u0633 \u0633\u0644\u0648\u0643 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u062d\u0648\u0644 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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