{"id":379,"date":"2023-07-04T03:00:17","date_gmt":"2023-07-04T03:00:17","guid":{"rendered":"https:\/\/mathority.org\/ko\/%eb%ac%b4%ed%95%9c-%ec%82%ac%ec%9d%b4%ec%9d%98-%eb%b6%88%ed%99%95%ec%a0%95-%eb%ac%b4%ed%95%9c-%e2%88%9e-%e2%88%9e\/"},"modified":"2023-07-04T03:00:17","modified_gmt":"2023-07-04T03:00:17","slug":"%eb%ac%b4%ed%95%9c-%ec%82%ac%ec%9d%b4%ec%9d%98-%eb%b6%88%ed%99%95%ec%a0%95-%eb%ac%b4%ed%95%9c-%e2%88%9e-%e2%88%9e","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%eb%ac%b4%ed%95%9c-%ec%82%ac%ec%9d%b4%ec%9d%98-%eb%b6%88%ed%99%95%ec%a0%95-%eb%ac%b4%ed%95%9c-%e2%88%9e-%e2%88%9e\/","title":{"rendered":"\ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131(\ubb34\ud55c\ub300\/\ubb34\ud55c\ub300)"},"content":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ubb34\ud55c\ub300(\ubb34\ud55c\ub300\/\ubb34\ud55c\ub300) \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc131\uc758 \ubb34\ud55c\ub300\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub2e4\ud56d\uc2dd, \uadfc\ud638, \uc9c0\uc218 \ud568\uc218 \ub4f1 \ubaa8\ub4e0 \uc885\ub958\uc758 \ud568\uc218\uc5d0\uc11c \uc774\ub7ec\ud55c \ubd88\ud655\uc815\uc758 \uc608\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \ubb34\ud55c \uc0ac\uc774\uc5d0 \ubb34\ud55c\ud55c \ubd88\ud655\uc815\uc744 \uc81c\uacf5\ud558\ub294 \ud55c\uacc4\ub97c \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ud558\ub294 \uc5f0\uc2b5\uc744 \ud1b5\ud574 \ud6c8\ub828\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-resolver-la-indeterminacion-infinito-entre-infinito\"><\/span> \ubb34\ud55c \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \ud574\uacb0\ud558\ub294 \ubc29\ubc95<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ud568\uc218\uc758 \uadf9\ud55c\uc774 \ubb34\ud55c\ub300\ub97c \ubb34\ud55c\ub300\ub85c \ub098\ub208\ub2e4\ub294 \uac83\uc740 \uadf8\uac83\uc774 \ubd88\ud655\uc815\uc131(\ub610\ub294 \ubd88\ud655\uc815 \ud615\uc2dd)\uc784\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. <strong>\ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc131\uc744 \ubd80\uc5ec\ud558\ub294 \ud568\uc218\uc758 \uadf9\ud55c\uc744 \ud480\ub824\uba74<\/strong> \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uc640 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ub97c \ube44\uad50\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77419fd05960300c6e2cd6158cd04e69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{a_nx^r+a_{n-1}x^{r-1}+a_{n-2}x^{r-2}+\\dots}{b_nx^s+b_{n-1}x^{s-1}+b_{n-2}x^{s-2}+\\dots}=\\frac{+\\infty}{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"375\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> \ubd88\ud655\uc815\uc131 \ubb34\ud55c\ub300\ub97c \ubb34\ud55c\ub300\ub85c \ub098\ub208 \uacb0\uacfc\ub294 \ubd84\uc218\uc758 \ubd84\uc790 \ucc28\uc218\uc640 \ubd84\ubaa8 \ucc28\uc218\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc740 \uacbd\uc6b0, \ubd88\ud655\uc815\uc131\uc758 \ubb34\ud55c\ub300\ub97c <strong><u style=\"text-decoration-color:#FF9B28;\">\ubb34\ud55c\ub300\ub85c \ub098\ub208 \uac12\uc740 0\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/u><\/strong><\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uc640 \ub3d9\uc77c\ud558\uba74 \ubb34\ud55c\ub300\uc5d0 \ub300\ud55c \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc740 <strong><u style=\"text-decoration-color:#FF9B28;\">\ub450 \ub2e4\ud56d\uc2dd\uc758 \ucd5c\uace0\ucc28 \uacc4\uc218\uc758 \ubaab\uc785\ub2c8\ub2e4.<\/u><\/strong><\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud070 \uacbd\uc6b0, \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc758 \ubb34\ud55c\ub300\ub294 <strong><u style=\"text-decoration-color:#FF9B28;\">\ub2e4\uc18c \ubb34\ud55c\ub300\ub97c<\/u><\/strong> \uc81c\uacf5\ud569\ub2c8\ub2e4(\ubd80\ud638\ub294 \ub450 \ub2e4\ud56d\uc2dd\uc758 \uc8fc\uc694 \ud56d\uc5d0 \ub530\ub77c \ub2e4\ub984).<\/span> <\/li>\n<\/ol>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c969e4b99985b44006e57d554ff0247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to \\pm \\infty}}\\frac{a_nx^r+a_{n-1}x^{r-1}+a_{n-2}x^{r-2}+\\dots}{b_nx^s+b_{n-1}x^{s-1}+b_{n-2}x^{s-2}+\\dots}=\\left\\{ \\begin{array}{lcl} 0 &amp; \\text{si} &amp; r<s \\\\[3ex]=&quot;&quot; \\cfrac{a_n}{b_n}=&quot;&quot; &amp;=&quot;&quot; \\text{si}=&quot;&quot; r=&quot;s&quot; \\\\[5ex]=&quot;&quot; \\pm=&quot;&quot; \\infty=&quot;&quot;>s \\end{array}\\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;139&#8243; width=&#8221;767&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-indeterminaciones-infinito-entre-infinito\"><\/span> \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\uacb0\uc815\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uac01 \uacbd\uc6b0\uc758 \uba87 \uac00\uc9c0 \uc608\ub97c \uc0b4\ud3b4\ubd04\uc73c\ub85c\uc368 \ubb34\ud55c \uc0ac\uc774\uc758 \ubd88\ud655\uc815 \ud615\ud0dc \ubb34\ud55c\uc774 \uc5b4\ub5bb\uac8c \ud574\uacb0\ub418\ub294\uc9c0 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h3 class=\"wp-block-heading\"> \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc740 \ubd84\uc790\uc758 \ucc28\uc218<\/h3>\n<p> \uc704\uc5d0\uc11c \ubcf8 \uac83\ucc98\ub7fc, \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc744 \ub54c, \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubb34\ud55c \uadf9\ud55c\uc740 \ud56d\uc0c1 0\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608\uc2dc 1:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b4e5e0058ab08d743a6dc18587912a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{6x^2-5}{x^3+1} = \\cfrac{6(+\\infty)^2}{(+\\infty)^3} = \\cfrac{+\\infty}{+\\infty}= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"293\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubd84\uc790\uc758 \ub2e4\ud56d\uc2dd\uc740 2\ucc28\uc774\uace0 \ubd84\ubaa8\uc758 \ub2e4\ud56d\uc2dd\uc740 3\ucc28\uc774\ubbc0\ub85c \uadf9\ud55c\uc758 \ud574\ub294 0\uc785\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608 2:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b7cb8798b808542e53a1caa8fcb9ee5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\frac{-7x}{2x^4+3x^2}=\\frac{-7\\cdot (-\\infty)}{2(-\\infty)^4}=\\frac{+\\infty}{+\\infty}= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"328\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubd84\uc790\uc758 \ub2e4\ud56d\uc2dd \ud568\uc218\ub294 1\ucc28\uc774\uc9c0\ub9cc \ubd84\ubaa8\uc758 \ud568\uc218\ub294 4\ucc28\uc774\ubbc0\ub85c \uc74c\uc758 \ubb34\ud55c\ub300\uc758 \ud55c\uacc4\ub294 0\uc785\ub2c8\ub2e4.<\/p>\n<h3 class=\"wp-block-heading\"> \ubd84\uc790\uc758 \ucc28\uc218\ub294 \ubd84\ubaa8\uc758 \ucc28\uc218\uc640 \uac19\uc2b5\ub2c8\ub2e4.<\/h3>\n<p> \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uc640 \uac19\uc744 \ub54c, \ub450 \ub2e4\ud56d\uc2dd\uc758 \ucd5c\uace0\ucc28 \uacc4\uc218(\uace0\ucc28\ud56d\uc758 \uacc4\uc218)\ub97c \ub098\ub204\uc5b4 \ubb34\ud55c\ud55c\uacc4 \ubb34\ud55c\ub300\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608\uc2dc 3:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c21a5f7720fd6be40b043d30f904941_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{4x^2+1}{2x^2-5} = \\cfrac{4(+\\infty)^2}{2(+\\infty)^2}= \\cfrac{+\\infty}{+\\infty} =\\cfrac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"327\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \ub450 \ub2e4\ud56d\uc2dd\uc740 2\ucc28\uc774\ubbc0\ub85c \uc591\uc758 \ubb34\ud55c\ub300\uc5d0\uc11c \uadf9\ud55c\uc744 \ucc3e\uae30 \uc704\ud574 \ub354 \ub192\uc740 \ucc28\uc218\uc758 \ud56d\uc758 \uacc4\uc218\ub97c \ub098\ub204\uc5b4\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608\uc2dc 4:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e019743989a25f2cfa1c1dd1aa718b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{2x+1}{5x+3} = \\cfrac{2(-\\infty)}{5(-\\infty)}= \\cfrac{-\\infty}{-\\infty} =\\cfrac{\\bm{2}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"280\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf9\ud55c\uc740 x\uac00 \uc74c\uc758 \ubb34\ud55c\ub300\uc5d0 \uac00\uae4c\uc6cc\uc9c0\ub294 \uacbd\uc6b0\uc774\uc9c0\ub9cc, \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc740 \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c \ud574\uacb0\ub429\ub2c8\ub2e4.<\/p>\n<h3 class=\"wp-block-heading\"> \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \ubd84\uc790\uc758 \ucc28\uc218\uac00 \ub354 \ud07d\ub2c8\ub2e4.<\/h3>\n<p> \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud070 \uacbd\uc6b0, \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c\ub300\uc758 \ubd80\uc815\ud615 \ud615\ud0dc\ub294 \ud56d\uc0c1 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud558\uba70, \ubb34\ud55c\ub300\uc758 \ubd80\ud638\ub294 \ub450 \ub2e4\ud56d\uc2dd\uc758 \ub354 \ub192\uc740 \ucc28\uc218\uc758 \ud56d\uc5d0 \uc758\ud574 \uacb0\uc815\ub429\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608\uc2dc 5:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36bee41554444ea88e0bc4f6d0dbf75a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{x^2+7}{x-2} = \\cfrac{(+\\infty)^2}{+\\infty} = \\cfrac{+\\infty}{+\\infty} = \\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"297\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \ubd84\uc790\uc758 \ud568\uc218\ub294 \ubd84\ubaa8\uc758 \ud568\uc218\ubcf4\ub2e4 \ub354 \ub192\uc740 \ucc28\uc218\ub97c \uac00\uc9c0\ubbc0\ub85c \ubb34\ud55c\ub300\uc5d0 \ub300\ud55c \ubd88\ud655\uc815\uc131 \ubb34\ud55c\ub300\ub294 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \ub610\ud55c \uc774 \uacbd\uc6b0 \ubd84\uc790\uc640 \ubd84\ubaa8\ub294 \ubaa8\ub450 \uc591\uc758 \ubb34\ud55c\ub300\ub97c \uac00\uc9c0\ubbc0\ub85c \uadf9\ud55c\uc758 \uacb0\uacfc\ub3c4 \uc591\uc218\uc5ec\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<h4 class=\"wp-block-heading\"> \uc608\uc2dc 6:<\/h4>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de6d4de74f4fe69e45ce1a55fcb8c7d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{3x^2+2x-5}{7x+1} = \\cfrac{3(-\\infty)^2}{7(-\\infty)}=\\cfrac{3(+\\infty)}{-\\infty}}= \\cfrac{+\\infty}{-\\infty}= \\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"436\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \uc784\uc758\uc758 \uc81c\uacf1\ud56d\uc774 \uc591\uc218\uc774\uae30 \ub54c\ubb38\uc5d0 \ubd84\uc790\ub85c\ubd80\ud130 \uc591\uc758 \ubb34\ud55c\ub300\ub97c \uc5bb\ub294 \ubc18\uba74, \ubd84\ubaa8\uc5d0\uc11c\ub294 \uc74c\uc758 \ubb34\ud55c\ub300\ub97c \uc5bb\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc591\uc218\ub97c \uc74c\uc218\ub85c \ub098\ub208 \uac12\uc740 \uc74c\uc218\uc774\ubbc0\ub85c \uacb0\uacfc \ud55c\uacc4\ub294 \uc74c\uc218\uc785\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-entre-infinito-con-raices\"><\/span> \uadfc\uacfc \ubb34\ud55c \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc6b0\ub9ac\ub294 \ub2e4\ud56d\uc2dd \ud568\uc218\uac00 \uc788\uc744 \ub54c \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \ubc29\uae08 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uadf8\ub7f0\ub370\u2026 \ubfcc\ub9ac\uac00 \uc788\ub2e4\uba74 \ubb34\ud55c\ub300\ub97c \ubb34\ud55c\ub300\ub85c \ub098\ub204\uba74 \uc5bc\ub9c8\ub098 \ub420\uae4c\uc694?<\/p>\n<p> <strong>\ubb34\ub9ac\ud568\uc218(\uadfc\uc774 \uc788\ub294 \ud568\uc218)\uc758 \ucc28\uc218\ub294<\/strong> \uc8fc\ud56d\uc758 \ucc28\uc218\uc640 \uadfc\ud638 \uc9c0\uc218 \uc0ac\uc774\uc758 \ubaab\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffc00917d2cc316211a57feafdddd0d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[\\color{red}\\bm{m}\\color{black}]{a_nx^{\\color{blue}\\bm{n}\\color{black}}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\\dots} \\ \\longrightarrow \\ \\text{grado}=\\cfrac{\\color{blue}\\bm{n}\\color{black}}{\\color{red}\\bm{m}\\color{black}}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"580\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c <strong>\uadfc\uc774 \uc788\ub294 \ud568\uc218\uc758 \uadf9\ud55c\uc774 \ubb34\ud55c\ub300 \uac04\uc758 \ubd88\ud655\uc815\uc131\uc744 \uc81c\uacf5\ud558\ub294<\/strong> \uacbd\uc6b0 \ubd84\uc790\uc640 \ubd84\ubaa8\uc758 \ucc28\uc218\uc5d0 \ub300\ud574 \uc704\uc5d0\uc11c \uc124\uba85\ud55c \uac83\uacfc \ub3d9\uc77c\ud55c \uaddc\uce59\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. \ub2e8, \uadfc\uc774 \uc788\ub294 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ub294 \ub2e4\ub974\uac8c \uacc4\uc0b0\ub41c\ub2e4\ub294 \uc810\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p> \uadfc\ud638\uac00 \uc788\ub294 \ud568\uc218\uc758 \ubb34\ud55c\ub300 \uadf9\ud55c\uc5d0 \ub300\ud55c \ub2e4\uc74c \uc608\ub97c \uc0b4\ud3b4\ubcf4\uc2ed\uc2dc\uc624.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b93ef0d623e6904538b361f5d6f1ef9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{4x^2+11}{\\sqrt{x^8-3x^2-5}}=\\frac{4(+\\infty)^2}{\\sqrt{(+\\infty)^8}}=\\frac{+\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"354\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> \ubd84\uc790\uc758 \ucc28\uc218\ub294 2\uc774\uace0 \ubd84\ubaa8\uc758 \ucc28\uc218\ub294 4(8\/2=4)\uc774\ubbc0\ub85c \ubd84\uc790\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc73c\ubbc0\ub85c \uadf9\ud55c\uc740 0\uc785\ub2c8\ub2e4.<\/p>\n<p> \ubc18\uba74, \ubd84\uc790\uc640 \ubd84\ubaa8\uc758 \ucc28\uc218\uac00 \uac19\uc740 \uacbd\uc6b0, \ubd88\ud655\uc815 \uadf9\ud55c\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \uadfc\ud638\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc8fc \uacc4\uc218\ub97c \ucde8\ud574\uc57c \ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-130d73020be7d3969b22ecd4381ccf8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{6x-5}{\\sqrt{9x^2+2x}}=\\frac{6(+\\infty)}{\\sqrt{9(+\\infty)^2}}=\\frac{+\\infty}{+\\infty}=\\frac{6}{\\sqrt{9}}=\\frac{6}{3}=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"420\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-entre-infinito-con-funciones-exponenciales\"><\/span> \uc9c0\uc218 \ud568\uc218\ub97c \uc0ac\uc6a9\ud55c \ubb34\ud55c \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc6b0\ub9ac\ub294 \ubb34\ud55c\uc758 \ubd88\ud655\uc815\uc131 \uc9c0\uc218\uc758 \uc0ac\ub840\ub9cc \uc5f0\uad6c\ud558\uba74 \ub429\ub2c8\ub2e4: \ubb34\ud55c\uc131\uacfc \uc9c0\uc218 \ud568\uc218 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc740 \uc5bc\ub9c8\ub098 \ub429\ub2c8\uae4c?<\/p>\n<p> \uc9c0\uc218 \ud568\uc218\uc758 \uc99d\uac00\ub294 \ub2e4\ud56d \ud568\uc218\uc758 \uc99d\uac00\ubcf4\ub2e4 \ud6e8\uc52c \ud06c\uae30 <strong>\ub54c\ubb38\uc5d0 \uc9c0\uc218 \ud568\uc218\uc758 \ucc28\uc218\ub294 \ub2e4\ud56d \ud568\uc218\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud06c\ub2e4\ub294 \uc810\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49d708f83c6876b3cdb6d884ab7b6a23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{exponencial}>\\text{polinomio}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;16&#8243; width=&#8221;192&#8243; style=&#8221;vertical-align: -4px;&#8221;><\/p>\n<\/p>\n<p> \uadf8\ub7ec\ubbc0\ub85c, \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \ubb34\ud55c\ub300\ub85c \ub098\ub208 \uac83\uc774 \uc9c0\uc218 \ud568\uc218\uc758 \uadf9\ud55c\uc5d0\uc11c \ube44\ub86f\ub41c \uacbd\uc6b0 \ubd84\uc790\uc640 \ubd84\ubaa8\uc758 \ucc28\uc218\uc5d0 \ub300\ud574 \uc124\uba85\ub41c \ub3d9\uc77c\ud55c \uaddc\uce59\uc744 \uc801\uc6a9\ud558\ub294 \uac83\uc73c\ub85c \ucda9\ubd84\ud558\uc9c0\ub9cc \uc9c0\uc218 \ud568\uc218\uac00 \ub2e4\ud56d\uc2dd\ubcf4\ub2e4 \ub354 \ub192\uc740 \ucc28\uc218\ub77c\ub294 \uc810\uc744 \uace0\ub824\ud558\uba74 \ub429\ub2c8\ub2e4. .<\/p>\n<p> \ub610\ud55c \ub098\ub217\uc148\uc758 \ubd84\uc790\uc640 \ubd84\ubaa8\uc5d0 \uc9c0\uc218 \ud568\uc218\uac00 \uc788\ub294 \uacbd\uc6b0 \ubc11\uc774 \ub354 \ud070 \uc9c0\uc218 \ud568\uc218\uac00 \ub354 \ub192\uc740 \ucc28\uc218\uac00 \ub429\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50f9e93066ce9e76b76ef6c7a72a9fad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{7x^5+6x^3-4x}{4^x}=\\frac{7(+\\infty)^5}{4^{+\\infty}}=\\frac{+\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"350\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \ubd84\ubaa8\ub294 \uc9c0\uc218\ud568\uc218\ub85c \uad6c\uc131\ub418\ubbc0\ub85c \ubd84\uc790\ubcf4\ub2e4 \uace0\ucc28\uc774\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \ubb34\ud55c \uc0ac\uc774\uc758 \ubd80\uc815\ud615 \ubb34\ud55c\uc740 \uc0ac\ub77c\uc9c4\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-indeterminacion-infinito-entre-infinito\"><\/span> \ubb34\ud55c \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815 \ubb38\uc81c \ud574\uacb0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1<\/h3>\n<p> \ub2e4\uc74c \uc720\ub9ac \ud568\uc218\uc758 \uadf9\ud55c\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf1cd4bc84c0a321db33330a58a89ae4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty} \\cfrac{6x-5}{x^2-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"101\" style=\"vertical-align: -13px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uadf9\ud55c\uc744 \uacc4\uc0b0\ud560 \ub54c \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \uc5bb\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ubd84\uc790\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc73c\ubbc0\ub85c \ubd88\ud655\uc815\ud55c \uadf9\ud55c\uc740 0\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08cb59f29e9be213c6cf5f22f796b132_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{6x-5}{x^2-1} = \\cfrac{6(+\\infty)}{(+\\infty)^2} = \\cfrac{+\\infty}{+\\infty}= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"278\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 2<\/h3>\n<p> \ub2e4\uc74c \ubd88\ud655\uc815 \uadf9\ud55c\uc744 \ud574\uacb0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02dd4897e57603625223d03f893f78c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty} \\cfrac{x^3+4x-1}{5x^2-3x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"149\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uadf9\ud55c\uc744 \uacc4\uc0b0\ud558\ub824\uace0 \uc2dc\ub3c4\ud558\uba74 \ubd88\ud655\uc815\uc131 \ubb34\ud55c\ub300\/\ubb34\ud55c\ub300\uac00 \uc5bb\uc5b4\uc9d1\ub2c8\ub2e4. \uc774 \uacbd\uc6b0, \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ub294 \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud06c\ubbc0\ub85c \ubd80\uc815\ud55c\uacc4\ub294 \ud50c\ub7ec\uc2a4 \ubb34\ud55c\ub300\uc640 \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-72be3fb247787c715fa772abbf1df242_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{x^3+4x-1}{5x^2-3x+4} = \\cfrac{(+\\infty)^3}{5(+\\infty)^2} = \\cfrac{+\\infty}{+\\infty}= \\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"356\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 3<\/h3>\n<p> \ubb34\ud55c\ub300\uc5d0\uc11c \ub2e4\uc74c \uadf9\ud55c\uc744 \ud47c\ub2e4: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2459122cc1d9e723b3f78d858c48fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{-4x^2+3}{3x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"130\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uadf9\ud55c\uc740 \ud50c\ub7ec\uc2a4 \ubb34\ud55c\ub300 \uc0ac\uc774\uc5d0\uc11c \ubd88\ud655\uc815\uc131 \ub9c8\uc774\ub108\uc2a4 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \ubd84\uc790\uc758 \ucc28\uc218\ub294 \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud06c\ubbc0\ub85c \ubd80\uc815\ud55c\uacc4\ub294 \ud50c\ub7ec\uc2a4 \ubb34\ud55c\ub300\uc640 \uac19\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ub098\ub217\uc148\uc740 \uc591\uc758 \ubb34\ud55c\ub300\ub85c \uc74c\uc758 \ubb34\ud55c\ub300\uc774\ubbc0\ub85c \uacb0\uacfc\ub294 \uc74c\uc758 \ubb34\ud55c\ub300\uac00 \ub429\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a446d2cb568ab87f57eb43614c7727e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{-4x^2+3}{3x+1} = \\cfrac{-4(+\\infty)^2}{3(+\\infty)} =\\cfrac{-4(+\\infty)}{+\\infty}= \\cfrac{-\\infty}{+\\infty}= \\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"460\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 4<\/h3>\n<p> \ub2e4\uc74c \ubd88\ud655\uc815 \uadf9\ud55c\uc744 \ud574\uacb0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08b74c12124842886ef576ef8c4eeb1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{5x+8}{-5x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc774 \ubb38\uc81c\uc5d0\uc11c \ubb34\ud55c\ub300\uc5d0 \ub300\ud55c \ubb34\ud55c \ubd88\ud655\uc815 \ud615\uc2dd\uc740 \ub3d9\uc77c\ud55c \ucc28\uc218\uc758 \ub450 \ub2e4\ud56d\uc2dd\uc758 \ubaab\uc5d0\uc11c \uc5bb\uc5b4\uc9c0\ubbc0\ub85c \ubd88\ud655\uc815 \uadf9\ud55c\uc758 \uacb0\uacfc\ub294 \uc8fc\uc694 \uacc4\uc218\uc758 \ub098\ub217\uc148\uc785\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc2fb0ed175e50d56e670681c136cd17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{5x+8}{-5x+2} = \\cfrac{5(+\\infty)}{-5(+\\infty)} = \\cfrac{+\\infty}{-\\infty}=\\cfrac{5}{-5}= \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"367\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 5<\/h3>\n<p> \ub2e4\uc74c \uadf9\ud55c\uc744 \ucd5c\uc18c\ud55c \ubb34\ud55c\ub300\ub85c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0431a362c02fce505f4567e28f21fa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x^2+3x+5}{x^4-x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"141\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc758 \ub300\uc218\uc801 \ud45c\ud604\uc758 \ucc28\uc218\ub294 \ubd84\ubaa8\uc758 \ud45c\ud604\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc73c\ubbc0\ub85c \ubd88\ud655\uc815\uc131 +\ubb34\ud55c\ub300\/+\ubb34\ud55c\uc740 0\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-405fbcd016c064f414b043abe04fa768_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x^2+3x+5}{x^4-x-6} = \\cfrac{(-\\infty)^2}{(-\\infty)^4} = \\cfrac{+\\infty}{+\\infty}= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"316\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 6<\/h3>\n<p> \uadfc\uc774 \uc788\ub294 \ud568\uc218\uc758 \ub2e4\uc74c \ubd88\ud655\uc815 \uadf9\ud55c\uc744 \ud489\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-159a0cb8cc6c1e4551195c4bb03eacd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\sqrt[3]{x^7-4x^3}}{x^2+5x}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"134\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790 \ud45c\ud604\uc740 \uadfc\ud638 \uc544\ub798\uc5d0 \uc788\uc73c\ubbc0\ub85c \uadf8 \ucc28\uc218\ub294 7\/3\uc785\ub2c8\ub2e4. \ubc18\uba74, \ubd84\ubaa8\uc758 \ub2e4\ud56d\uc2dd\uc740 2\ucc28\uc785\ub2c8\ub2e4. \uadf8\ub9ac\uace0 7\/3&gt;2\uc774\ubbc0\ub85c \uadf9\ud55c\uc740 \ud50c\ub7ec\uc2a4 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-912b218cb8aa2c4bbc93df147bfb4af6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{\\sqrt[3]{x^7-4x^3}}{x^2+5x}=\\frac{\\sqrt[3]{(+\\infty)^7}}{(+\\infty)^2}=\\frac{+\\infty}{+\\infty}=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"348\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 7<\/h3>\n<p> \ubd84\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ud568\uc218\uc758 \ubb34\ud55c\ub300 \uadf9\ud55c\uc744 \uacb0\uc815\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ffef148096d3aa64a2eb5d63e00d2f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty} \\cfrac{-2x^2}{5-4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"101\" style=\"vertical-align: -13px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc774 \uc5f0\uc2b5\uc5d0\uc11c, \ubd88\ud655\uc815\uc131 \ub9c8\uc774\ub108\uc2a4 \ubb34\ud55c\ub300\ub97c \ub9c8\uc774\ub108\uc2a4 \ubb34\ud55c\ub300\ub85c \ub098\ub208 \uac12\uc740 \ubd84\ubaa8 \ucc28\uc218\ubcf4\ub2e4 \ubd84\uc790 \ucc28\uc218\uac00 \ub354 \ud070 \uac12\uc73c\ub85c \uad6c\ud574\uc9d1\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b2dfa8a24dd69065fc8ddcf223321d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{-2x^2}{5-4x} = \\cfrac{-2(+\\infty)^2}{-4(+\\infty)} = \\cfrac{-2(+\\infty)}{-\\infty}= \\cfrac{-\\infty}{-\\infty} =\\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"431\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 8<\/h3>\n<p> \ub2e4\uc74c \ud568\uc218\uc758 \ucd5c\uc18c \ubb34\ud55c\ub300\uae4c\uc9c0\uc758 \uadf9\ud55c\uc744 \uad6c\ud569\ub2c8\ub2e4: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68566303139abd794f304c979271a058_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{9x}{4-x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\ubaa8 \ub2e4\ud56d\uc2dd\uc740 2\ucc28\uc774\uace0, \ubd84\uc790 \ub2e4\ud56d\uc2dd\uc740 \uc120\ud615\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubd88\ud655\uc815\uc131\uc758 \ubb34\ud55c\ub300\ub97c \ubb34\ud55c\ub300\ub85c \ub098\ub204\uba74 0\uc774 \ub429\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c5e09be0ae49504103eb4cb5bc2bff7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{9x}{4-x^2} = \\cfrac{9(-\\infty)}{-(-\\infty)^2} = \\cfrac{-\\infty}{-(+\\infty)}=\\cfrac{-\\infty}{-\\infty}= \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"374\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 9<\/h3>\n<p> \ub2e4\uc74c \ud568\uc218\uc758 \ucd5c\uc18c \ubb34\ud55c \uadf9\ud55c\uc744 \ud47c\ub2e4: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-550b7d336f11ad3346cc238a9f5719db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{-2x^3-3x}{-3x^2+4x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"163\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\ub294 \ubd84\ubaa8\ubcf4\ub2e4 \ucc28\uc218\uac00 \ub354 \ud06c\uae30 \ub54c\ubb38\uc5d0 \ubd88\ud655\uc815 \ud615\uc2dd\uc778 \ubb34\ud55c\ub300\/\ubb34\ud55c\ub300\uc758 \uacb0\uacfc\ub294 \ubb34\ud55c\ub300\uac00 \ub429\ub2c8\ub2e4. \ub610\ud55c \uc591\uc218\ub97c \uc74c\uc218\ub85c \ub098\ub208 \uac12\uc774 \uc74c\uc218\uac00 \ub418\uae30 \ub54c\ubb38\uc5d0 \ubb34\ud55c\ub300 \uae30\ud638\ub294 \uc74c\uc218\uac00 \ub429\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9820c6575934eac4bea0f71a98db09b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{-2x^3-3x}{-3x^2+4x-1} = \\cfrac{-2(-\\infty)^3}{-3(-\\infty)^2} =\\cfrac{-2(-\\infty)}{-3(+\\infty)}= \\cfrac{+\\infty}{-\\infty}= \\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"493\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 10<\/h3>\n<p> \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \uadf9\ud55c\uc744 \ud574\uacb0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ebe0714beba2eea5d7ab668eb8c75de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\cfrac{2^x-4}{-2x^6+x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"131\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc9c0\uc218 \ud568\uc218\ub294 \ub2e4\ud56d \ud568\uc218\ubcf4\ub2e4 \ucc28\uc218\uac00 \ub192\uc73c\ubbc0\ub85c \uadf9\ud55c\uc740 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uc591\uc218\ub97c \uc74c\uc218\ub85c \ub098\ub204\uba74 \ubb34\ud55c\ub300 \uae30\ud638\ub294 \uc74c\uc218\uac00 \ub429\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7917d9ddbc8ccb39774511497bdefb5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\frac{2^x-4}{-2x^6+x^4}=\\frac{2^{+\\infty}}{-2(+\\infty)^6}=\\frac{+\\infty}{-\\infty}=\\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"350\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 11<\/h3>\n<p> \ub2e4\uc74c \ud55c\ub3c4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1aaa5294b445d8033648f190609987c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x^3-5x}{-x^3-5x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"131\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc774 \ubb38\uc81c\uc5d0\uc11c \ubb34\ud55c\ub300\uc758 \ubd88\ud655\uc815\uc131\uc740 \ub450 \ub2e4\ud56d\uc2dd\uc758 \uc8fc\uc694 \uacc4\uc218\ub97c \ub098\ub214\uc73c\ub85c\uc368 \ud574\uacb0\ub429\ub2c8\ub2e4. \ub450 \ub2e4\ud56d\uc2dd\uc758 \ucc28\uc218\ub294 \ub3d9\uc77c\ud558\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2c768688b8251d2b4313af43af4f746_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x^3-5x}{-x^3-5x^2} = \\cfrac{(-\\infty)^3}{-(-\\infty)^3} = \\cfrac{-\\infty}{-(-\\infty)}= \\cfrac{-\\infty}{+\\infty}=\\cfrac{1}{-1}=\\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"467\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 12<\/h3>\n<p> x\uac00 \ubb34\ud55c\ub300\uc5d0 \uc811\uadfc\ud560 \ub54c \ub2e4\uc74c \ud568\uc218\uc758 \uadf9\ud55c\uc744 \ud489\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1cce696dca9dec8cf7f859d792996b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{(x+3)^2}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"114\" style=\"vertical-align: -13px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc758 \ubbf8\uc9c0\uc218\ub294 \uc9c1\uc811 \uc81c\uacf1\ub418\uc9c0 \uc54a\uc9c0\ub9cc, \uc8fc\ubaa9\ud560\ub9cc\ud55c \ud56d\ub4f1\uc2dd\uc744 \ud480 \ub54c \ubd84\uc790\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \ud06c\ub2e4\ub294 \uac83\uc744 \ubd84\uba85\ud788 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc544\uc9c1: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b93b4ad05b7c3a78f61fe5af296c8055_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{(x+3)^2}{x}=\\lim_{x \\to +\\infty} \\cfrac{x^2+9+6x}{x} = \\cfrac{(+\\infty)^2}{+\\infty} = \\cfrac{+\\infty}{+\\infty} = \\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"475\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 13<\/h3>\n<p> \uc138\uc81c\uacf1\uadfc\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ud568\uc218\uc758 \ubb34\ud55c\ub300 \uadf9\ud55c\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f29e7741e7378d96ef63a5da902d185d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[3]{8x^3+1}}{-4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"125\" style=\"vertical-align: -13px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\ub294 \uc138\uc81c\uacf1\uadfc\uc73c\ub85c \uad6c\uc131\ub418\ubbc0\ub85c \ucc28\uc218\ub294 3\/3=1\uc785\ub2c8\ub2e4. \uadf8\ub7ec\uba74 \ubd84\uc790\uc758 \ucc28\uc218\ub294 \ubd84\ubaa8\uc758 \ucc28\uc218\uc640 \uac19\uc73c\ubbc0\ub85c \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \ud574\uacb0\ub429\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-72958d733b74a32ee99322f4adfefb4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[3]{8x^3+1}}{-4x}= \\cfrac{\\sqrt[3]{8(+\\infty)^3}}{-4(\\infty)}= \\cfrac{+\\infty}{-\\infty}  = \\cfrac{\\sqrt[3]{8}}{-4}=\\cfrac{2}{-4}=\\bm{-}\\mathbf{\\cfrac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"444\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 14<\/h3>\n<p> \ub450 \uac1c\uc758 \uadfc\ud638\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ud568\uc218\uc758 \ubb34\ud55c\ub300 \uadf9\ud55c\uc744 \ud47c\ub2e4: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66a62b591cedd9d53e14613fc16bca97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[3]{6x^7+2x^3}}{\\sqrt{x^5-3x^4+2x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"173\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc758 \ucc28\uc218\ub294 7\/3 = 2.33\uc774\uace0 \ubd84\ubaa8\uc758 \ucc28\uc218\ub294 5\/2 = 2.5\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubd84\uc790\uc758 \ucc28\uc218\uac00 \ubd84\ubaa8\uc758 \ucc28\uc218\ubcf4\ub2e4 \uc791\uc73c\ubbc0\ub85c \ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubd88\ud655\uc815 \ubb34\ud55c \uadf9\ud55c\uc740 0\uc785\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-681401701d7d7f3fad1879db26659942_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[3]{6x^7+2x^3}}{\\sqrt{x^5-3x^4+2x}}=\\cfrac{\\sqrt[3]{6(+\\infty)^7}}{\\sqrt{(+\\infty)^5}}=\\cfrac{+\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"376\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 15<\/h3>\n<p> \ub2e4\uc74c \ud55c\ub3c4\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe6ecfeb0afd1ce82003504bdd2222a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[5]{x^7-2x^5-1}}{4^{x-2}+3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"164\" 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\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc758 \ucc28\uc218\uc5d0 \uad00\uacc4\uc5c6\uc774 \ubd84\ubaa8\uc5d0 \uc9c0\uc218 \ud568\uc218\uac00 \uc788\uc73c\ubbc0\ub85c \ubb34\ud55c\ub300\uc5d0 \ub300\ud55c \ubd80\uc815\ud615 \ubb34\ud55c\ub300 \uacb0\uacfc\ub294 0\uc785\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc9e15968203ed8d39e04b1f2239b9b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\sqrt[5]{x^7-2x^5-1}}{4^{x-2}+3x}=\\cfrac{\\sqrt[5]{(+\\infty)^7}}{4^{+\\infty-2}}=\\cfrac{+\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"358\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ubb34\ud55c\ub300(\ubb34\ud55c\ub300\/\ubb34\ud55c\ub300) \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc131\uc758 \ubb34\ud55c\ub300\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub2e4\ud56d\uc2dd, \uadfc\ud638, \uc9c0\uc218 \ud568\uc218 \ub4f1 \ubaa8\ub4e0 \uc885\ub958\uc758 \ud568\uc218\uc5d0\uc11c \uc774\ub7ec\ud55c \ubd88\ud655\uc815\uc758 \uc608\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c \ubb34\ud55c \uc0ac\uc774\uc5d0 \ubb34\ud55c\ud55c \ubd88\ud655\uc815\uc744 \uc81c\uacf5\ud558\ub294 \ud55c\uacc4\ub97c \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ud558\ub294 \uc5f0\uc2b5\uc744 \ud1b5\ud574 \ud6c8\ub828\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubb34\ud55c \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131\uc744 \ud574\uacb0\ud558\ub294 \ubc29\ubc95 \ud568\uc218\uc758 \uadf9\ud55c\uc774 \ubb34\ud55c\ub300\ub97c \ubb34\ud55c\ub300\ub85c \ub098\ub208\ub2e4\ub294 \uac83\uc740 \uadf8\uac83\uc774 \ubd88\ud655\uc815\uc131(\ub610\ub294 \ubd88\ud655\uc815 \ud615\uc2dd)\uc784\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \ubb34\ud55c\ub300 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%eb%ac%b4%ed%95%9c-%ec%82%ac%ec%9d%b4%ec%9d%98-%eb%b6%88%ed%99%95%ec%a0%95-%eb%ac%b4%ed%95%9c-%e2%88%9e-%e2%88%9e\/\"> <span class=\"screen-reader-text\">\ubb34\ud55c\ub300 \uc0ac\uc774\uc758 \ubb34\ud55c \ubd88\ud655\uc815\uc131(\ubb34\ud55c\ub300\/\ubb34\ud55c\ub300)<\/span> \ub354 \ubcf4\uae30 &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":[12],"tags":[],"class_list":["post-379","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized 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