{"id":23,"date":"2023-09-17T11:08:12","date_gmt":"2023-09-17T11:08:12","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a3%d9%86%d9%88%d8%a7%d8%b9-%d8%b9%d8%af%d9%85-%d8%a7%d9%84%d8%aa%d8%ad%d8%af%d9%8a%d8%af%d8%8c-%d8%ad%d8%af%d9%88%d8%af-%d8%ba%d9%8a%d8%b1-%d9%85%d8%ad%d8%af%d8%af%d8%a9\/"},"modified":"2023-09-17T11:08:12","modified_gmt":"2023-09-17T11:08:12","slug":"%d8%a3%d9%86%d9%88%d8%a7%d8%b9-%d8%b9%d8%af%d9%85-%d8%a7%d9%84%d8%aa%d8%ad%d8%af%d9%8a%d8%af%d8%8c-%d8%ad%d8%af%d9%88%d8%af-%d8%ba%d9%8a%d8%b1-%d9%85%d8%ad%d8%af%d8%af%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a3%d9%86%d9%88%d8%a7%d8%b9-%d8%b9%d8%af%d9%85-%d8%a7%d9%84%d8%aa%d8%ad%d8%af%d9%8a%d8%af%d8%8c-%d8%ad%d8%af%d9%88%d8%af-%d8%ba%d9%8a%d8%b1-%d9%85%d8%ad%d8%af%d8%af%d8%a9\/","title":{"rendered":"\u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 (\u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0646\u0648\u0636\u062d \u0645\u0627 \u0647\u0648 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0644\u0647\u0627. \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 \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 \u062d\u0648\u0644 \u062d\u062f\u0648\u062f \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0644\u062c\u0645\u064a\u0639 \u062d\u0627\u0644\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-indeterminaciones\"><\/span> \u0645\u0627 \u0647\u064a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0625\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0647\u064a \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0638\u0647\u0631 \u0641\u064a \u062d\u0633\u0627\u0628 \u062d\u062f\u0648\u062f \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062a\u064a \u0644\u0645 \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0646\u062a\u064a\u062c\u062a\u0647\u0627.<\/strong> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062d\u0644 \u0645\u0634\u0643\u0644\u0629 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0637\u0628\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0623\u0648\u0644\u064a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0646\u0648\u0639 \u0627\u0644\u0648\u0638\u064a\u0641\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u064a \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646\u060c \u0641\u0647\u0630\u0627 \u0644\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u063a\u064a\u0631 \u0645\u0648\u062c\u0648\u062f\u0629 \u0623\u0648 \u0623\u0646\u0647 \u0644\u0627 \u064a\u0645\u0643\u0646 \u062d\u0644\u0647\u0627\u060c \u0628\u0644 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0633\u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0625\u062c\u0631\u0627\u0621 \u062a\u063a\u064a\u064a\u0631\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"tipos-de-indeterminaciones\"><\/span> \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u0627\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0635\u0646\u064a\u0641 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0623\u0648 \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0646\u0627\u0642\u0635 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629<\/strong> (\u221e-\u221e)<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0639\u062f\u062f \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<\/strong> (k\/\u221e)<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631\u064a \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<\/strong> (0\/0)<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\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\u064a\u0629<\/strong> (\u221e\/\u221e)<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 1 \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/strong> (1 <sup>\u221e<\/sup> )<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062a\u0645 \u0631\u0641\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631<\/strong> (0 <sup>0<\/sup> )<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Oxygen-Sans, Ubuntu, Cantarell, &quot;Helvetica Neue&quot;, sans-serif; font-size: 1rem;\">\u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0635\u0641\u0631 \u0644\u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/strong> <span style=\"font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Oxygen-Sans, Ubuntu, Cantarell, &quot;Helvetica Neue&quot;, sans-serif; font-size: 1rem; font-weight: inherit;\">(0\u00b7\u221e)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0635\u0641\u0631 \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/strong> (0 <sup>\u221e<\/sup> )<\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0648\u0635\u0644 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631<\/strong> (\u221e <sup>0<\/sup> )<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u0646\u0631\u0649 \u0628\u0639\u062f \u0630\u0644\u0643 \u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-menos-infinito\"><\/span> \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0646\u0627\u0642\u0635 \u0627\u0644\u0644\u0627\u062d\u062a\u0645\u064a\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\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<\/strong> \u0644\u0627 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u064b\u0627\u060c \u0644\u0623\u0646\u0646\u0627 \u0646\u0637\u0631\u062d \u0639\u062f\u062f\u064a\u0646 \u0643\u0628\u064a\u0631\u064a\u0646 \u062c\u062f\u064b\u0627 \u0648\u0644\u0643\u0646\u0646\u0627 \u0644\u0627 \u0646\u0639\u0631\u0641 \u0623\u064a\u0647\u0645\u0627 \u0623\u0643\u0628\u0631. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u062a\u0631\u062a\u064a\u0628 \u0643\u0644 \u0644\u0627\u0646\u0647\u0627\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03349653243a9ad62377c721fea0e797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\infty-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0644\u064a\u0633 \u0628\u0627\u0644\u0623\u0645\u0631 \u0627\u0644\u0633\u0647\u0644\u060c \u0644\u0623\u0646\u0647 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0646\u0648\u0639 \u0627\u0644\u0648\u0638\u064a\u0641\u0629\u060c \u064a\u062c\u0628 \u062a\u0637\u0628\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0623\u0648 \u0622\u062e\u0631. \u0644\u0630\u0627 \u0646\u0646\u0635\u062d\u0643 \u0628\u0645\u0634\u0627\u0647\u062f\u0629 \u0627\u0644\u0634\u0631\u062d \u0643\u0627\u0645\u0644\u0627\u064b \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a:<\/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-\u0646\u0627\u0642\u0635-\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 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0646\u0627\u0642\u0635 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-numero-entre-cero\"><\/span> \u0639\u062f\u062f \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 <strong>\u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0627\u0644\u062b\u0627\u0628\u062a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0635\u0641\u0631<\/strong> \u0639\u0646\u062f \u062d\u0630\u0641 \u0645\u0642\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u0633\u0631\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-8d550f72be2a531eb89d5cf200f54dc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"10\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0633\u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u062f\u0627\u0626\u0645\u064b\u0627 \u0623\u0643\u062b\u0631 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629\u060c \u0648\u0623\u0642\u0644 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629\u060c \u0648\u0625\u0644\u0627 \u0641\u0625\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0646 \u062a\u0643\u0648\u0646 \u0645\u0648\u062c\u0648\u062f\u0629. \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0647\u0630\u0627 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0643\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f20a823489187682e3becf93cbd93c7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\cfrac{-4}{x^2}=\\cfrac{-4}{0^2}=\\cfrac{-4}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0642\u062f \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u0639\u062f\u062f \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0635\u0641\u0631\u060c <u style=\"text-decoration-color:#FF9B28;\">\u0644\u0630\u0627 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0644\u0644\u062f\u0627\u0644\u0629:<\/u><\/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-84821ecfa11641959a1463c3f2dd00e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^-}\\cfrac{-4}{0^2}=\\cfrac{-4}{(-0,001)^2}=\\cfrac{-4}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" 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-904f4d1bb401493cdb76cbb9ce607f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^+}\\cfrac{-4}{0^2}=\\cfrac{-4}{0,001^2}=\\cfrac{-4}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"261\" style=\"vertical-align: -16px;\"><\/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\/\u0627\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<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0639\u0637\u064a \u0627\u0644\u062d\u062f\u0627\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0627\u0646 \u0644\u0644\u062f\u0627\u0644\u0629 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629\u060c \u0644\u0630\u0627 \u0628\u062d\u0643\u0645 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0641\u0625\u0646 \u062d\u062f \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u0645\u064a\u0644 x \u0625\u0644\u0649 0 \u064a\u0639\u0637\u064a \u0633\u0627\u0644\u0628 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c1b718f44360fe4322ba69ee40c9613_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^-}f(x)=\\lim_{x\\to 0^+}f(x)=-\\infty \\ \\longrightarrow \\ \\lim_{x\\to 0}f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"401\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062d\u0638 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0623\u0639\u0637\u062a \u0627\u0644\u0646\u0647\u0627\u064a\u0627\u062a \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0629 \u0642\u064a\u0645\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0641\u0644\u0646 \u062a\u0643\u0648\u0646 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u0648\u062c\u0648\u062f\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-entre-cero\"><\/span> \u0635\u0641\u0631 \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062d\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0635\u0641\u0631 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0635\u0641\u0631<\/strong> \u0634\u0627\u0626\u0639 \u062c\u062f\u064b\u0627 \u0648\u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647 \u0641\u064a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0643\u0633\u0648\u0631 \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u0625\u0644\u063a\u0627\u0621 \u0627\u0644\u0628\u0633\u0637 \u0648\u0627\u0644\u0645\u0642\u0627\u0645.<\/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-f88512bac0562399d5d8e65829073b54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"9\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0628\u0634\u0643\u0644 \u0645\u062e\u062a\u0644\u0641 \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0648\u0638\u064a\u0641\u0629. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0647\u0627 \u062c\u0630\u0648\u0631\u060c \u0641\u064a\u062c\u0628 \u062a\u0646\u0641\u064a\u0630 \u062e\u0637\u0648\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629. \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0627\u0644\u062d\u0644\u0648\u0644 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u0635\u0641\u0631-\u0628\u064a\u0646-\u0635\u0641\u0631-0-0-\u0639\u062f\u0645-\u0627\u0644\u062a\u062d\u062f\u064a\u062f\/\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0644 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631\u064a \u0628\u064a\u0646 \u0627\u0644\u0635\u0641\u0631<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-entre-infinito\"><\/span> \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0628\u064a\u0646 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0627\u062f\u0629\u064b \u0645\u0627 \u064a\u062d\u062f\u062b <strong>\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\u064a\u0629<\/strong> \u0641\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629 \u0644\u0644\u0648\u0638\u0627\u0626\u0641 \u0630\u0627\u062a \u0627\u0644\u0643\u0633\u0648\u0631. \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0647\u0648 \u062d\u0627\u0635\u0644 \u0642\u0633\u0645\u0629 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u062a\u064a\u0646\u060c \u0625\u0644\u0627 \u0623\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0644\u0627 \u064a\u062c\u0628 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5322af410095265a81aa545e533ebd1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\infty}{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"18\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629. \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u064a\u062a\u0645 \u0645\u0644\u0627\u062d\u0638\u0629 \u062f\u0631\u062c\u0629 \u0627\u0644\u0628\u0633\u0637 \u0648\u062f\u0631\u062c\u0629 \u0627\u0644\u0645\u0642\u0627\u0645\u060c \u0648\u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0623\u064a\u0647\u0645\u0627 \u0623\u0643\u0628\u0631\u060c \u062a\u0643\u0648\u0646 \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u0623\u0648 \u0623\u062e\u0631\u0649. \u064a\u0645\u0643\u0646\u0643\u0645 \u0645\u0634\u0627\u0647\u062f\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a\u0629 \u0628\u064a\u0646 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-1-elevado-a-infinito\"><\/span> \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 1 \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0631\u064a\u0627\u0636\u064a\u0627\u060c \u0642\u062f \u064a\u0639\u062a\u0642\u062f \u0627\u0644\u0645\u0631\u0621 \u0623\u0646 <strong>1 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/strong> \u064a\u0639\u0637\u064a 1\u060c \u0644\u0623\u0646 \u0623\u064a \u0642\u0648\u0629 1 \u062a\u0633\u0627\u0648\u064a 1. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0647\u0630\u0627 \u0627\u0644\u0645\u0635\u0637\u0644\u062d \u0647\u0648 \u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u0627 \u064a\u0645\u0643\u0646 \u0644\u0644\u0645\u0631\u0621 \u0623\u0646 \u064a\u0633\u062a\u0646\u062a\u062c \u0646\u062a\u0627\u0626\u062c\u0647 \u0628\u0633\u0647\u0648\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-f68a3b617b5f1db37a9beea43e15264f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1^{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\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-e6bc13731241df168c3dc37d3e3b8e58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}f(x)^{g(x)}=\\lim_{x\\to+\\infty}e^{g(x)\\cdot [f(x)-1]}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"271\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f\u0629 \u0644\u0623\u0646\u0647\u0627 \u062a\u0639\u0637\u064a \u0642\u0648\u0629 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96004b3ff4fd888f2e7fbc30a14abf13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}\\left(1-\\frac{1}{x}\\right)^x=\\left(1-\\frac{1}{+\\infty}\\right)^{+\\infty}=(1-0)^{+\\infty}=1^{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"428\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\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-e577daa5f0e768ca16bfe27a4d7a8a85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}e^{x\\cdot\\left[1-\\frac{1}{x}-1\\right]}=\\lim_{x\\to+\\infty}e^{x\\cdot\\left[-\\frac{1}{x}\\right]}=\\lim_{x\\to+\\infty}e^{-1}=\\frac{1}{e}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"383\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0630\u0644\u0643 \u0646\u0643\u0648\u0646 \u0642\u062f \u062a\u0648\u0635\u0644\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0625\u0644\u0649 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-elevado-a-cero\"><\/span> \u062c\u0644\u0628\u062a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0638\u0647\u0631 <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631\u064a \u0644\u0644\u0642\u0648\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629<\/strong> \u0636\u0645\u0646 \u062d\u062f\u0648\u062f \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0645\u0639\u0642\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-dfc1e32d3dc765b27701a8576e765fc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0^0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062d\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062d\u062f \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-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062a\u0639\u0637\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 0 \u0623\u0633 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-d8680b80b19cae955169d2c0a8ad41f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{1}{x}\\right)^{\\frac{1}{x}}=\\left(\\frac{1}{+\\infty}\\right)^{\\frac{1}{+\\infty}}=0^0\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"251\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646 \u0625\u0630\u0627 \u0637\u0628\u0642\u0646\u0627 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0642\u064a\u0645\u062a\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-04165b15f4b40bbe84ae5a4b214d4846_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{1}{x}\\right)^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{1}{x}\\cdot \\ln\\left(\\frac{1}{x}\\right)}}=\\\\[5ex]\\displaystyle =e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln\\left(\\frac{1}{x}\\right)}{x}}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln1-\\ln x}{x}}}=\\\\[5ex]=\\displaystyle e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{-\\ln x}{x}}}=e^{^{\\displaystyle\\frac{-\\infty}{+\\infty}}}=e^0=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"239\" width=\"307\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-por-infinito\"><\/span> \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631\u064a \u0644\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u0645\u0648\u0627\u062c\u0647\u0629 <strong>\u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0627\u0644\u0635\u0641\u0631 \u0648\u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629<\/strong> \u060c \u0644\u0643\u0646 \u0647\u0630\u0627 \u0644\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u062a\u062d\u062f\u064a\u062f\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-74b7fdba8e0feae988551f83341ec063_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\cdot \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0627 \u062a\u0648\u062c\u062f \u0637\u0631\u064a\u0642\u0629 \u0648\u0627\u062d\u062f\u0629 \u0644\u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u060c \u0648\u0644\u0643\u0646\u0647\u0627 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0646\u0648\u0639 \u0627\u0644\u0648\u0638\u064a\u0641\u0629. \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0625\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0623\u0648 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0635\u0641\u0631 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0635\u0641\u0631\u060c \u0648\u0645\u0646 \u0647\u0646\u0627\u0643 \u0646\u0637\u0628\u0642 \u0637\u0631\u0642 \u0627\u0644\u062d\u0644 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0623\u0639\u0644\u0627\u0647 \u0644\u0643\u0644 \u0639\u062f\u0645 \u062a\u0639\u064a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0647\u0627\u064a\u0629 \u0625\u062d\u062f\u0649 \u0627\u0644\u062f\u0627\u0644\u062a\u064a\u0646 0 \u0648\u0643\u0627\u0646\u062a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u221e:<\/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-ac028c501a7835fdfa3bab5c769849b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)=0\\qquad\\lim_{x\\to a}g(x)=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"243\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0625\u0644\u0649 \u0623\u062c\u0644 \u063a\u064a\u0631 \u0645\u0633\u0645\u0649 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u063a\u064a\u064a\u0631\u0627\u062a \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-df402461269ae26c30768fc0bf83f2ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)\\cdot g(x)\\begin{cases}\\displaystyle\\lim_{x\\to a}\\frac{f(x)}{\\displaystyle\\frac{1}{g(x)}}=\\frac{0}{0}\\\\[10ex]\\displaystyle\\lim_{x\\to a}\\frac{g(x)}{\\displaystyle\\frac{1}{f(x)}}=\\frac{\\infty}{\\infty}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"174\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0646\u0647\u0627\u064a\u0629 \u063a\u064a\u0631 \u0645\u062d\u062f\u062f\u0629 \u0643\u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-929e74562ababa44a253522d4474afad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}e^{-x}\\cdot x=e^{-\\infty}\\cdot (+\\infty)=0\\cdot \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"277\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0639\u0645\u0644 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0639\u0644\u0649 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u062b\u0645 \u0646\u062c\u062f \u0627\u0644\u0646\u0647\u0627\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c29bbb439514449cd12fd8d66e327af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}e^{-x}\\cdot x=\\lim_{x\\to +\\infty}\\frac{x}{\\displaystyle\\frac{1}{e^{-x}}}=\\\\[6ex]=\\displaystyle \\lim_{x\\to +\\infty}\\frac{x}{e^x}=\\frac{+\\infty}{e^{+\\infty}}=\\frac{+\\infty}{+\\infty}=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"241\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-elevado-a-infinito\"><\/span> \u0631\u0641\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0635\u0641\u0631 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621 \u0641\u0647\u0645 <strong>\u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 \u0635\u0641\u0631 \u0645\u0631\u0641\u0648\u0639\u064b\u0627 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629<\/strong> \u060c \u0644\u0623\u0646\u0646\u0627 \u0646\u0631\u0641\u0639 \u0639\u062f\u062f\u064b\u0627 \u0635\u063a\u064a\u0631\u064b\u0627 \u062c\u062f\u064b\u0627 \u0625\u0644\u0649 \u0639\u062f\u062f \u0643\u0628\u064a\u0631 \u062c\u062f\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4894b918853d6dca8db65a026b1a349b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0^{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0646\u062f \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u064a\u062c\u0628 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\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-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u062d\u0644 \u0645\u062b\u0627\u0644\u0627\u064b \u0644\u0641\u0647\u0645 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\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-6ca354428ea8889a956a9b77b04a088f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0^+}x^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to 0^+}\\frac{1}{x}\\cdot \\ln(x)}}=\\\\[3.5ex]\\displaystyle =e^{^{\\displaystyle\\frac{1}{0^+}\\cdot \\ln(0^+)}}=e^{+\\infty\\cdot (-\\infty)}\\\\[3ex]\\displaystyle =e^{-\\infty}=\\frac{1}{e^{+\\infty}}=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"190\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-elevado-a-cero\"><\/span> \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064a \u0648\u0635\u0644 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0627\u062f\u0629\u060c \u0623\u064a \u0642\u0648\u0629 \u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631 \u062a\u0639\u0637\u064a 1\u060c \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 <strong>\u0639\u062f\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0639\u0629 \u0625\u0644\u0649 \u0627\u0644\u0635\u0641\u0631<\/strong> \u0644\u064a\u0633 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\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-4a2ef9259a35e0e2f7a176bcdb934ad9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\infty^0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0641\u064a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0635\u0641\u0631 \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0635\u0641\u0631 \u0648\u0635\u0641\u0631 \u0645\u0631\u0641\u0648\u0639 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0644 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0645\u062b\u0627\u0644 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\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-a45090015a206189aca3884f8b2cab30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}x^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{1}{x}\\cdot \\ln(x)}}=\\\\[3ex]\\displaystyle =e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln(x)}{x}}}=e^{^{\\displaystyle\\frac{\\ln(+\\infty)}{+\\infty}}}=\\\\[3ex]\\displaystyle =e^{^{\\displaystyle\\frac{+\\infty}{+\\infty}}}=e^0=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"199\" width=\"236\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0646\u0648\u0636\u062d \u0645\u0627 \u0647\u0648 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. \u0633\u0648\u0641 \u062a\u0643\u062a\u0634\u0641 \u0645\u0627 \u0647\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0644\u0647\u0627. \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 \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 \u062d\u0648\u0644 \u062d\u062f\u0648\u062f \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0644\u062c\u0645\u064a\u0639 \u062d\u0627\u0644\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f. \u0645\u0627 \u0647\u064a \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u061f \u0625\u0646 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0647\u064a \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0631\u064a\u0627\u0636\u064a\u0629 \u062a\u0638\u0647\u0631 \u0641\u064a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a3%d9%86%d9%88%d8%a7%d8%b9-%d8%b9%d8%af%d9%85-%d8%a7%d9%84%d8%aa%d8%ad%d8%af%d9%8a%d8%af%d8%8c-%d8%ad%d8%af%d9%88%d8%af-%d8%ba%d9%8a%d8%b1-%d9%85%d8%ad%d8%af%d8%af%d8%a9\/\"> <span class=\"screen-reader-text\">\u0623\u0646\u0648\u0627\u0639 \u0639\u062f\u0645 \u0627\u0644\u062a\u0639\u064a\u064a\u0646 (\u0627\u0644\u062d\u062f\u0648\u062f \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[11],"tags":[],"class_list":["post-23","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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