{"id":381,"date":"2023-07-04T01:01:00","date_gmt":"2023-07-04T01:01:00","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%a3%d9%81%d9%82%d9%8a\/"},"modified":"2023-07-04T01:01:00","modified_gmt":"2023-07-04T01:01:00","slug":"%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%a3%d9%81%d9%82%d9%8a","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%a3%d9%81%d9%82%d9%8a\/","title":{"rendered":"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a"},"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\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\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-horizontal\"><\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0623\u0641\u0642\u064a \u064a\u0642\u062a\u0631\u0628 \u0645\u0646\u0647 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062e\u0627\u0635 \u0628\u0647 \u0625\u0644\u0649 \u0623\u062c\u0644 \u063a\u064a\u0631 \u0645\u0633\u0645\u0649 \u062f\u0648\u0646 \u062a\u062c\u0627\u0648\u0632\u0647 \u0639\u0644\u0649 \u0627\u0644\u0625\u0637\u0644\u0627\u0642.<\/strong> \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0647\u064a <em>y=k<\/em> \u060c \u062d\u064a\u062b <em>k<\/em> \u0647\u064a \u0642\u064a\u0645\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0623\u0646 <strong><em>k<\/em> \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0642\u062a\u0631\u0628 <em>x<\/em> \u0645\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u062a\u0633\u0627\u0648\u064a <em>k<\/em> .<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629\" class=\"wp-image-1350\" width=\"401\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0623\u0639\u0644\u0627\u0647 \u0639\u0644\u0649 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0639\u0644\u0649 \u062c\u0627\u0646\u0628\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u060c \u0648\u0644\u0643\u0646 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0639\u0644\u0649 \u062c\u0627\u0646\u0628 \u0648\u0627\u062d\u062f \u0641\u0642\u0637:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 <strong>\u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0623\u064a\u0633\u0631<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u062a\u0639\u0637\u064a \u0639\u062f\u062f\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 <strong>\u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646<\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0647\u0627\u064a\u0629 \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u062a\u0639\u0637\u064a \u0639\u062f\u062f\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627. <\/li>\n<\/ul>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-111\" 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<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-horizontale-dune-fonction-a-partir-de-la-gauche.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631\" class=\"wp-image-1352\" width=\"227\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\" style=\";text-align:right;direction:rtl\">\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-horizontale-vers-la-droite.webp\" alt=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\" class=\"wp-image-1328\" width=\"268\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"como-calcular-la-asintota-horizontal-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\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u064a\u062c\u0628 \u0627\u062a\u0628\u0627\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:;text-align:right;direction:rtl\">\n<li style=\"margin-bottom:12px;text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0627\u062d\u0633\u0628 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0625\u0644\u0649 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 (+\u221e \u0648-\u221e).<\/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 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u062a\u0639\u0637\u064a \u0631\u0642\u0645\u064b\u0627 \u062d\u0642\u064a\u0642\u064a\u064b\u0627 (k)\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637 y=k \u0647\u0648 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#101010;font-weight: normal;\">\u0625\u0630\u0627 \u0644\u0645 \u064a\u0643\u0646 \u0623\u064a \u0645\u0646 \u0627\u0644\u062d\u062f\u064a\u0646 \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0639\u062f\u062f \u062d\u0642\u064a\u0642\u064a\u060c \u0641\u0644\u0646 \u064a\u0643\u0648\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u062e\u0637\u0648\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a\u0629.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asintota-horizontal\"><\/span> \u0645\u062b\u0627\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \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\u060c \u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u0625\u0632\u0627\u0644\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0645\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6b695ac0a1f175a1522a0c606da9458_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+1}{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646\u062f \u0633\u0627\u0644\u0628 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0648\u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c437f7aa8aec16519f5ff4bfd2666a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{x+1}{x-1} = \\cfrac{+\\infty}{+\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"223\" 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-6a04dd749f028409b7c952eb01d5adde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x+1}{x-1} = \\cfrac{-\\infty}{-\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0639\u062f\u0645-\u0627\u0644\u062a\u062d\u062f\u064a\u062f-\u0644\u0627\u0646\u0647\u0627\u064a\u0654\u064a-\u0628\u064a\u0646-\u0644\u0627\u0646\u0647\u0627\u064a\u0654\u064a-%e2%88%9e-%e2%88%9e\/\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u0627\u0646 \u0639\u0646\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u064a\u0639\u0637\u064a\u0627\u0646 1\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>y=1 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0627\u0644\u0648\u062d\u064a\u062f \u0644\u0644\u062f\u0627\u0644\u0629.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0645\u0645\u062b\u0644\u0629 \u0628\u064a\u0627\u0646\u064a\u0627. \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0641\u0625\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u0642\u062a\u0631\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646 y=1 (\u0633\u0648\u0627\u0621 \u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0623\u0648 \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629)\u060c \u0644\u0643\u0646\u0647\u0627 \u0644\u0627 \u062a\u0644\u0645\u0633\u0647\u0627 \u0623\u0628\u062f\u064b\u0627 \u0644\u0623\u0646\u0647\u0627 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a. <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-horizontale.webp\" alt=\"\u0645\u062b\u0627\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a\" class=\"wp-image-1333\" width=\"525\" height=\"414\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0645\u0644\u0627\u062d\u0638\u0629:<\/strong> \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629\u060c \u062a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0639 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629 \u0623\u0648 \u0623\u0643\u062b\u0631\u060c \u0648\u0644\u0643\u0646 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645\u060c \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0644\u0627 \u064a\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062a\u062d\u062a\u0648\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0631\u0623\u0633\u064a \u0639\u0646\u062f x=1. \u0644\u0623\u0646\u0647\u060c \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u060c \u0641\u0625\u0646\u0647 \u064a\u0642\u062a\u0631\u0628 \u062c\u062f\u064b\u0627 \u0645\u0646 \u0627\u0644\u062e\u0637 x=1 \u0648\u0644\u0643\u0646\u0647 \u0644\u0627 \u064a\u0635\u0644 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 \u0623\u0628\u062f\u064b\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-asintotas-horizontales\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\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\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a\u060c \u0625\u0646 \u0648\u062c\u062f\u060c \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-717c0b45bca578809a5e633a960e72c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{4x+3}{2x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0639\u0642\u0644\u0627\u0646\u064a\u0629\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27d982077c31fd0cd8f75cab15b6aafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{4x+3}{2x-1} = \\frac{4(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" 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-137e1fdfcb79e76bfaaae3f42466a16e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\frac{4x+3}{2x-1} = \\frac{4(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u221e\/\u221e \u0647\u064a \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 class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0648\u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u062a\u0639\u0637\u064a 2\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>y=2 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a<\/strong> \u0648\u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0648\u062d\u064a\u062f \u0627\u0644\u0630\u064a \u062a\u0645\u062a\u0644\u0643\u0647 \u0627\u0644\u062f\u0627\u0644\u0629.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u062c\u0630\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-c605d3e2ddf02895534060c0d965daaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{3x}{\\sqrt{x^2+2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"124\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0645\u0648\u062c\u0628\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-36b52bec09032cfd322340c6f979d5f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{+\\infty}{+\\infty} = \\frac{3}{\\sqrt{1}} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"259\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062d\u0644 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0633\u0627\u0644\u0628\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-fb11630356a1314b3785cc90980b419b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{-\\infty}{+\\infty} = \\frac{-3}{\\sqrt{1}} = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"273\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> <u style=\"text-decoration-color:#FF9B28;\">\u27a4 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0644\u062f\u064a\u0643 \u0623\u064a \u0634\u0643\u0648\u0643 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u062d\u062f\u0648\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629\u060c \u0646\u0648\u0635\u064a \u0628\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0631\u0627\u0628\u0637 \u0623\u0639\u0644\u0627\u0647 \u062d\u0648\u0644 <em>\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629.<\/em><\/u><\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u062a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u062a\u064a\u0646 \u0644\u0644\u062d\u062f\u0648\u062f \u0639\u0646\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u062e\u0637\u064a\u0646 \u0645\u0642\u0627\u0631\u0628\u064a\u0646 \u0623\u0641\u0642\u064a\u064a\u0646: y=3 \u0647\u0648 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c y=-3 \u0647\u0648 \u062e\u0637 \u062a\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631.<\/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\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\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: <\/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-aa168db8e7d068a6d331e40401a90da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\left\\{ \\begin{array}{lcl}\\displaystyle\\frac{3x-1}{x^2}&amp; \\text{si} &amp; x<4\\\\[4ex]\\displaystyle\\frac{x^3-2x+5}{2x^3-9} &amp; \\text{si} &amp; x\\geq 4 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"262\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0644\u0627 \u062a\u0648\u062c\u062f \u0635\u064a\u063a\u0629\u060c \u0648\u0644\u0643\u0646 \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u062d\u0633\u0627\u0628 \u062d\u062f\u0648\u062f \u0632\u0627\u0626\u062f \u0648\u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644\u060c \u0646\u0623\u062e\u0630 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0639\u0631\u0641\u0629 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0623\u0648\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-50c7440eb78bb31e6b0e2b4663d892bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x-1}{x^2}= \\frac{-\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"194\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062e\u0637 y=0 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0639\u0644\u0649 \u064a\u0633\u0627\u0631 \u0627\u0644\u062f\u0627\u0644\u0629.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0639\u0646\u062f \u0632\u0627\u0626\u062f \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0623\u062e\u0630 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \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-ba01137442f320e04e824b4963a3383b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{x^3-2x+5}{2x^3-9}= \\frac{+\\infty}{+\\infty}=\\mathbf{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"237\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062e\u0637 y=1\/2 \u0647\u0648 \u062e\u0637 \u0645\u0642\u0627\u0631\u0628 \u0623\u0641\u0642\u064a \u0639\u0644\u0649 \u064a\u0645\u064a\u0646 \u0627\u0644\u062f\u0627\u0644\u0629.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062c\u062f \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629. \u0645\u0627 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a\u061f \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a \u0644\u0644\u062f\u0627\u0644\u0629 \u0647\u0648 \u062e\u0637 \u0623\u0641\u0642\u064a \u064a\u0642\u062a\u0631\u0628 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%ae%d8%b7-%d8%a7%d9%84%d9%85%d9%82%d8%a7%d8%b1%d8%a8-%d8%a7%d9%84%d8%a3%d9%81%d9%82%d9%8a\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[11],"tags":[],"class_list":["post-381","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u062e\u0637-\u0627\u0644\u0645\u0642\u0627\u0631\u0628-\u0627\u0644\u0623\u0641\u0642\u064a\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0642\u0627\u0631\u0628 \u0627\u0644\u0623\u0641\u0642\u064a - Mathority\" \/>\n<meta property=\"og:description\" content=\"\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 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