{"id":25,"date":"2023-09-17T11:07:37","date_gmt":"2023-09-17T11:07:37","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\/"},"modified":"2023-09-17T11:07:37","modified_gmt":"2023-09-17T11:07:37","slug":"%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8","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\/","title":{"rendered":"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629 \u0644\u0644\u062f\u0627\u0644\u0629. \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u062a\u0649 \u064a\u0643\u0648\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \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-oblicua\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644\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\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0645\u0627\u0626\u0644 \u064a\u0642\u062a\u0631\u0628 \u0645\u0646\u0647 \u0627\u0644\u0631\u0633\u0645 \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.<\/strong> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629 \u0647\u064a \u062e\u0637\u0648\u0637 \u0645\u0639\u0627\u062f\u0644\u0629 <em>y=mx+n<\/em> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0648\u0623\u0635\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/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-oblique-dune-fonction.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629\" class=\"wp-image-1362\" width=\"290\" height=\"328\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/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-oblicua-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\u0645\u0627\u0626\u0644 \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\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u062a\u0646\u0641\u064a\u0630 \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:20px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u062d\u0633\u0628 \u0646\u0647\u0627\u064a\u0629 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u0642\u0633\u0648\u0645\u0629 \u0639\u0644\u0649 x.<\/span><\/li>\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0623\u0639\u0644\u0627\u0647 \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u0631\u0642\u0645 \u062d\u0642\u064a\u0642\u064a \u063a\u064a\u0631 \u0627\u0644\u0635\u0641\u0631\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0627\u0644\u0645\u0630\u0643\u0648\u0631 \u0633\u064a\u0643\u0648\u0646 \u0647\u0648 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0639\u0646\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629.<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-004f6e72e10d1ba23da76d2fd8ea13f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m = \\lim_{x \\to \\pm\\infty}\\frac{f(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0643\u0644 \u0645\u0627 \u062a\u0628\u0642\u0649 \u0647\u0648 \u062d\u0633\u0627\u0628 \u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/li>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cc74ce0447b0a9148cae947674ad085_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} [f(x)-mx]\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"170\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/ol>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0644\u0627\u062d\u0638\u0629:<\/strong> \u064a\u062c\u0628 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0648\u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u0643\u0646\u0647\u0627 \u0639\u0627\u062f\u0629 \u0645\u0627 \u062a\u0639\u0637\u064a \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637\u0647\u0627 \u0628\u0648\u0636\u0639 \u00b1\u221e. \u0644\u0643\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0648\u0646\u0627\u0642\u0635 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0641\u064a\u062c\u0628 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0627\u0644\u0623\u064a\u0633\u0631 \u0648\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0627\u0644\u0623\u064a\u0645\u0646 \u0628\u0634\u0643\u0644 \u0645\u0646\u0641\u0635\u0644. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asintota-oblicua\"><\/span> \u0645\u062b\u0627\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0646\u0623\u062e\u0630 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \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 \u0645\u062b\u0627\u0644 \u0644\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-b02f6283fd481e890a943badfa2c876f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2+1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"109\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629 \u0647\u064a \u0645\u0646 \u0627\u0644\u0646\u0648\u0639<\/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-ad313410fc976bc53709807aa8aed8e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=mx+n.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0644\u0630\u0627\u060c \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u062d\u0633\u0627\u0628 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0645\u0639 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b50ee5cbc3cf33f7fd42c3fe03a3d71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m = \\lim_{x \\to \\pm\\infty} \\frac{f(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" 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-870fc158a1aabb54cb5f3b4296381512_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m= \\lim_{x \\to \\pm\\infty} \\cfrac{\\cfrac{x^2+1}{x}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u0637\u0628\u064a\u0642 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0643\u0633\u0648\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-7f313d826cd1a2dd1ef66b1d0a40efb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\cfrac{a}{b}}{\\cfrac{c}{d}}=\\cfrac{a\\cdot d}{b\\cdot c}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"69\" style=\"vertical-align: -39px;\"><\/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-dfc6b6aa917846535c6c4b6158961988_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m= \\lim_{x \\to \\pm\\infty} \\cfrac{\\cfrac{x^2+1}{x}}{x}=\\lim_{x \\to \\pm\\infty} \\cfrac{x^2+1}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"264\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-542fc353481ddc465b7a40f665d3661d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m = \\lim_{x \\to \\pm\\infty} \\cfrac{x^2+1}{x^2} = \\cfrac{+\\infty}{+\\infty} = \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"269\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u062a\u064a\u062c\u0629 \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0647\u0648 \u062a\u0642\u0633\u064a\u0645 \u0645\u0639\u0627\u0645\u0644\u0627\u062a x \u0645\u0646 \u0623\u0639\u0644\u0649 \u062f\u0631\u062c\u0629\u060c \u062d\u064a\u062b \u0623\u0646 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645 \u0645\u0646 \u0646\u0641\u0633 \u0627\u0644\u062a\u0631\u062a\u064a\u0628.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0623\u0639\u0644\u0627\u0647 \u062a\u0639\u0637\u064a \u0631\u0642\u0645\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627 \u063a\u064a\u0631 \u0627\u0644\u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644. \u0633\u0646\u0642\u0648\u0645 \u0627\u0644\u0622\u0646 \u0628\u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 y<\/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-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0645\u0646 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\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-45119c7a74d77a92d7a6cfd5b5c3544f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[f(x)-mx\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"173\" 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-9197669cc0e41aa22224b552b21b31ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[\\cfrac{x^2+1}{x}-1x\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"191\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d7fa012eace37e82c243012c91f1a5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[\\cfrac{x^2+1}{x}-x\\right] = \\cfrac{+\\infty}{+\\infty} - (+\\infty) = \\bm{+\\infty - \\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"412\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u062e\u062a\u0632\u0627\u0644 \u0627\u0644\u0634\u0631\u0648\u0637 \u0625\u0644\u0649 \u0642\u0627\u0633\u0645 \u0645\u0634\u062a\u0631\u0643. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0636\u0631\u0628 \u0648\u0646\u0642\u0633\u0645 x \u0639\u0644\u0649 \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-a2355ed9411470b9fd20a50ebbd48726_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n=\\lim_{x \\to \\pm\\infty} \\left[\\cfrac{x^2+1}{x}-\\cfrac{x\\cdot x}{x} \\right] = \\lim_{x \\to \\pm\\infty} \\left[\\cfrac{x^2+1}{x}-\\cfrac{x^2}{x}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"391\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0623\u0635\u0628\u062d \u0644\u0643\u0644\u0627 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u064a\u0646 \u0646\u0641\u0633 \u0627\u0644\u0645\u0642\u0627\u0645\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062c\u0645\u064a\u0639\u0647\u0645\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f932ebc8728669c7c6b57e115c444fc7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[\\cfrac{x^2+1}{x}-\\cfrac{x^2}{x} \\right] =  \\lim_{x \\to \\pm\\infty} \\cfrac{x^2+1-x^2}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"358\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0639\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u0633\u0637:<\/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-c39259f829c9e99fc88819c6ae266e82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty}  \\cfrac{\\phantom{2}1\\phantom{2}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16a0044416d02e77b05f65f1bb93d4cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty}  \\cfrac{\\phantom{2}1\\phantom{2}}{x}= \\cfrac{1}{\\pm\\infty} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"201\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 <em>\u0646<\/em> = 0. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0647\u0648 \u062f\u0627\u0644\u0629 \u062e\u0637\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-6fbe1cc5f3362ddbd80ed0b29c0bb4ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/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-a68ac5c51acd0f68bd022aee64cd9cd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = 1x+0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\"><\/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-4909df7491ef54f0df1e922bc29417f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=x}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0623\u062f\u0646\u0627\u0647. \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0642\u062a\u0631\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637 y=x \u0648\u0644\u0643\u0646\u0647\u0627 \u0644\u0627 \u062a\u0644\u0645\u0633\u0647 \u0623\u0628\u062f\u064b\u0627 \u0644\u0623\u0646\u0647 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644: <\/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\/image-1.png\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644\" class=\"wp-image-1374\" width=\"424\" height=\"478\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-asintotas-oblicuas\"><\/span> \u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \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-8ecc70adc78bf259cf6e36c0dcf1bee7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{x^2+2x+3}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"150\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\u0629 \u0647\u064a \u0645\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/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-8e4adcc4368f6296906b6231bf17a6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a <em>m<\/em> \u0648 <em>n<\/em> . \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b <em>m<\/em> \u0628\u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\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-dc38f695cee95c4c60c6e2591345119e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m = \\lim_{x \\to \\pm\\infty} \\frac{f(x)}{x} = \\lim_{x \\to \\pm\\infty} \\cfrac{\\cfrac{x^2+2x+3}{x+1}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"293\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0643\u0633\u0648\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-ef59ac0cd51c39c615896543993c12b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty} \\frac{x^2+2x+3}{(x+1)\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"180\" style=\"vertical-align: -17px;\"><\/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-c51e373fd07a821f8e75d63e38f252dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty} \\frac{x^2+2x+3}{x^2+x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"180\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0644 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-653fa714bca94b5cc4f3ed715d7c1520_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty} \\frac{x^2+2x+3}{x^2+x}= \\frac{+\\infty}{+\\infty} = \\frac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"308\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 <em>\u0645<\/em> = 1. \u062f\u0639\u0648\u0646\u0627 \u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\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-e779b5ac239ae56c53427510dbd54dcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[f(x)-mx\\right] = \\lim_{x \\to \\pm\\infty} \\left[ \\frac{x^2+2x+3}{x+1}-1x\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"395\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f:<\/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-f95f290fbf258d45aa5765008d7aad13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[ \\frac{x^2+2x+3}{x+1}-x\\right]= \\bm{+\\infty - \\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"320\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u0639\u064a\u0646\u0629 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u062e\u062a\u0632\u0627\u0644 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0641\u064a \u0642\u0627\u0633\u0645 \u0645\u0634\u062a\u0631\u0643 \u0648\u0645\u0646 \u062b\u0645 \u062a\u062c\u0645\u064a\u0639\u0647\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0712d34ed442d9e12ef2490f04df078a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[ \\frac{x^2+2x+3}{x+1}-x\\right] =\\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty} \\left[ \\frac{x^2+2x+3}{x+1}-\\frac{x \\cdot (x+1)}{x+1} \\right] = \\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty} \\left[ \\frac{x^2+2x+3}{x+1}-\\frac{x^2+x}{x+1} \\right]=\\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty} \\frac{x^2+2x+3-(x^2+x)}{x+1}\\\\[6ex]\\displaystyle =\\lim_{x \\to \\pm\\infty} \\frac{x^2+2x+3-x^2-x}{x+1}=\\\\[6ex]=\\displaystyle \\lim_{x \\to \\pm\\infty} \\frac{x+3}{x+1}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"434\" width=\"300\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee7e1fdd8e781abed322fed1182ddb15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n =\\lim_{x \\to \\pm\\infty} \\frac{x+3}{x+1} = \\frac{\\infty}{\\infty} = \\frac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"241\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0644\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-6fbe1cc5f3362ddbd80ed0b29c0bb4ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/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-69c0f50795c1f6034c0cd04201f614d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = 1x + 1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"><\/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-5ffe94db5ae8fa1abc72e6007c2c0586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y = x + 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\"><\/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\"> \u0623\u0648\u062c\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0645\u0627\u0626\u0644\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-144807b8c72afbd43bb3f97d69cedb35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{2x^2-5}{x+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"118\" style=\"vertical-align: -14px;\"><\/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\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\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-bc900ded359235b2293ec151e715daea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m = \\lim_{x \\to \\pm\\infty} \\frac{f(x)}{x} = \\lim_{x \\to \\pm\\infty} \\cfrac{\\cfrac{2x^2-5}{x+3}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"261\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0642\u0648\u0645 \u0628\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0643\u0633\u0631 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0643\u0633\u0648\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-1c5afa9b1ca5f1c73e6b8e64c8fb9420_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty}\\frac{2x^2-5}{(x+3)\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"168\" style=\"vertical-align: -17px;\"><\/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-03a4b53a445bded103e8de4404620693_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty}\\frac{2x^2-5}{x^2+3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"149\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u062f\u062f \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-461c274fc210474eddaf061463e92aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle m =\\lim_{x \\to \\pm\\infty}\\frac{2x^2-5}{x^2+3x}= \\frac{+\\infty}{+\\infty} = \\frac{2}{1} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"278\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u062a\u0639\u0637\u064a \u0639\u062f\u062f\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627 \u063a\u064a\u0631 \u0627\u0644\u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0641\u0647\u064a \u062f\u0627\u0644\u0629 \u0643\u0633\u0631\u064a\u0629 \u0630\u0627\u062a \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0645\u0627\u0626\u0644 \u0645\u064a\u0644\u0647 2.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0633\u0628 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\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-4a04a1abaebfc5e1781dd7d98399888e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[f(x)-mx\\right] = \\lim_{x \\to \\pm\\infty} \\left[\\frac{2x^2-5}{x+3}-2x\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"364\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062d\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f:<\/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-00f35703d153fe6911328d143588e1cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[\\frac{2x^2-5}{x+3}-2x\\right]= \\bm{+\\infty - \\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"298\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0643\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0641\u0631\u0642 \u0641\u064a \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629. \u0648\u0644\u0630\u0644\u0643 \u0646\u062e\u062a\u0635\u0631 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0625\u0644\u0649 \u0642\u0627\u0633\u0645 \u0645\u0634\u062a\u0631\u0643 \u0648\u0645\u0646 \u062b\u0645 \u0646\u0639\u0645\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-4920e8b21b180c4f2740ce712d9f30d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle n = \\lim_{x \\to \\pm\\infty} \\left[\\frac{2x^2-5}{x+3}-2x\\right]=\\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty} \\left[\\frac{2x^2-5}{x+3}-\\frac{2x\\cdot (x+3)}{x+3} \\right] = \\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty} \\left[ \\frac{2x^2-5}{x+3}-\\frac{2x^2+6x}{x+3}\\right]=\\\\[6ex]=\\displaystyle\\lim_{x \\to \\pm\\infty}\\frac{2x^2-5-(2x^2+6x)}{x+3}\\\\[6ex]\\displaystyle =\\lim_{x \\to \\pm\\infty}\\frac{2x^2-5-2x^2-6x}{x+3}=\\\\[6ex]=\\displaystyle \\lim_{x \\to \\pm\\infty} \\frac{-6x-5}{x+3}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"434\" width=\"277\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0646\u062d\u0644 \u0627\u0644\u062d\u062f:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00b75da44399a44a4e215fd4baccf214_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n =\\lim_{x \\to \\pm\\infty} \\frac{-6x-5}{x+3}= \\frac{\\infty}{\\infty}=\\frac{-6}{1} = \\bm{-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"292\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\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-6fbe1cc5f3362ddbd80ed0b29c0bb4ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -4px;\"><\/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-ac6ac25ec7b85209d4d7d855e3d0b501_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=2x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\"><\/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 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\u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644\u061f \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0645\u0627\u0626\u0644 \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0645\u0627\u0626\u0644 \u064a\u0642\u062a\u0631\u0628 \u0645\u0646\u0647 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0625\u0644\u0649 \u0645\u0627 &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\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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