{"id":26,"date":"2023-09-17T11:07:18","date_gmt":"2023-09-17T11:07:18","guid":{"rendered":"https:\/\/mathority.org\/ko\/%eb%b6%88%ec%97%b0%ec%86%8d%ec%9d%98-%ec%a2%85%eb%a5%98\/"},"modified":"2023-09-17T11:07:18","modified_gmt":"2023-09-17T11:07:18","slug":"%eb%b6%88%ec%97%b0%ec%86%8d%ec%9d%98-%ec%a2%85%eb%a5%98","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%eb%b6%88%ec%97%b0%ec%86%8d%ec%9d%98-%ec%a2%85%eb%a5%98\/","title":{"rendered":"\ubd88\uc5f0\uc18d\uc131\uc758 \uc720\ud615"},"content":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uc5b4\ub5a4 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc774 \uc874\uc7ac\ud558\ub294\uc9c0 \uc54c\uc544\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c, \ubaa8\ub4e0 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc5d0 \ub300\ud55c \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70, \ud568\uc218\uc758 \ubd88\uc5f0\uc18d \uc720\ud615\uc5d0 \ub300\ud55c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<p><strong><\/strong><\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><strong> <\/strong><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-todos-los-tipos-de-discontinuidades\"><\/span> \ubaa8\ub4e0 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ubd88\uc5f0\uc18d\uc5d0\ub294 \uc138 \uac00\uc9c0 \uc720\ud615\uc774 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> <strong>\ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131<\/strong> : \ud55c \uc810\uc5d0\uc11c \ud568\uc218\uc758 \uce21\uba74 \uadf9\ud55c\uc774 \ud568\uc218 \uac12\uacfc \uc77c\uce58\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/li>\n<li> <strong>\ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131<\/strong> : \ud55c \uc810\uc5d0\uc11c \ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4\uac00 \ub2e4\ub985\ub2c8\ub2e4.<\/li>\n<li> <strong>\ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131<\/strong> : \ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4 \uc911 \ud558\ub098\uac00 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud558\uac70\ub098 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p> \uac1c\ub150 \uc774\ud574\ub97c \ub9c8\ubb34\ub9ac\ud558\uae30 \uc704\ud574 \uac01 \ubd88\uc5f0\uc18d \uc720\ud615\uc744 \ub354 \uc790\uc138\ud788 \uc124\uba85\ud558\uace0 \uc138 \uac00\uc9c0 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc744 \uc0ac\uc6a9\ud55c \ud568\uc218\uc758 \uc608\ub97c \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"discontinuidad-evitable\"><\/span> \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><strong> <\/strong><\/div>\n<\/div>\n<p><strong>\ud68c\ud53c\uac00\ub2a5\ud55c \ubd88\uc5f0\uc18d\uc131\uc740<\/strong> \ud55c \uc810\uc5d0 \uacbd\uacc4\uac00 \uc874\uc7ac\ud558\uc9c0\ub9cc \ud568\uc218\uc758 \uac12\uacfc \uc77c\uce58\ud558\uc9c0 \uc54a\uac70\ub098 \ud568\uc218\uc758 \uc774\ubbf8\uc9c0\uac00 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294 \uacbd\uc6b0 \uadf8 \uc810\uc5d0\uc11c \ud568\uc218\ub97c \uac16\ub294 \ubd88\uc5f0\uc18d\uc758 \ud55c \uc720\ud615\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-c26b9be97568ba85e1f8f22b568a2354_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\exists \\lim_{x \\to a} f(x) \\neq f(a) \\qquad | \\qquad \\displaystyle \\exists\\lim_{x \\to a} f(x) \\text{ y } \\ \\cancel{\\exists} \\ f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"367\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns are-vertically-aligned-top is-layout-flex wp-container-99\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/discontinuite-evitable-d-une-fonction.webp\" alt=\"\ud53c\ud560 \uc218 \uc788\ub294 \uae30\ub2a5\uc758 \uc911\ub2e8\" class=\"wp-image-1400\" width=\"276\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p> \uc774 \ud568\uc218\uc758 \uce21\uba74 \uadf9\ud55c\uc740 \uc11c\ub85c \ub3d9\uc77c\ud558\uc9c0\ub9cc \ud574\ub2f9 \uc9c0\uc810\uc5d0\uc11c\uc758 \ud568\uc218 \uac12\uacfc \ub2e4\ub985\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774 \ud568\uc218\ub294 \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131\uc744 \ub098\ud0c0\ub0c5\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-ac5bdc61d377477ddcc788b7230bcfbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l}\\displaystyle \\lim_{x \\to a^-} f(x) =b \\\\[3ex] \\displaystyle \\lim_{x \\to a^+} f(x)=b \\end{array} \\right\\} \\ \\bm{\\longrightarrow} \\ \\lim_{x \\to a} f(x)=b\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"276\" style=\"vertical-align: 0px;\"><\/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-9f61efde161e83828572db200f128ced_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to a} f(x)=b \\qquad f(a)=c\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"198\" style=\"vertical-align: -12px;\"><\/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-de211758fe99134c01f6eec8ea7c6348_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\exists \\lim_{x \\to a} f(x) \\neq f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/discontinuite-evitable-d-une-fonction-sans-image.webp\" alt=\"\uc774\ubbf8\uc9c0\uac00 \uc5c6\ub294 \uae30\ub2a5\uc758 \ud53c\ud560 \uc218 \uc788\ub294 \uc911\ub2e8\" class=\"wp-image-1401\" width=\"276\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p class=\"has-text-align-left\"> \uc774\uc804 \uc608\uc758 \ud568\uc218\ub294 x=a\uc5d0\uc11c\uc758 \uce21\uba74 \ud55c\uacc4\uac00 \ub3d9\uc77c\ud55c \uac12\uc744 \uac16\uae30 \ub54c\ubb38\uc5d0 \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131\uc744 \uac00\uc9c0\uc9c0\ub9cc \uc774 \uc2dc\uc810\uc5d0\uc11c\ub294 \ud568\uc218\uc758 \uc774\ubbf8\uc9c0\uac00 \uc874\uc7ac\ud558\uc9c0 \uc54a\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-ac5bdc61d377477ddcc788b7230bcfbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l}\\displaystyle \\lim_{x \\to a^-} f(x) =b \\\\[3ex] \\displaystyle \\lim_{x \\to a^+} f(x)=b \\end{array} \\right\\} \\ \\bm{\\longrightarrow} \\ \\lim_{x \\to a} f(x)=b\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"276\" style=\"vertical-align: 0px;\"><\/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-87531b3fbfb53b42e79af5a7305ffc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to a} f(x)=b \\qquad \\cancel{\\exists} \\ f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"181\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110e\u1173\u11a8\u1106\u1167\u11ab-\u1112\u1161\u11ab\u1100\u1168\/\">\ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"discontinuidad-inevitable-de-salto-finito\"><\/span> \uc720\ud55c \uc810\ud504\uc758 \ubd88\uac00\ud53c\ud55c \ubd88\uc5f0\uc18d\uc131 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p><strong>\ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc740<\/strong> \ud574\ub2f9 \uc9c0\uc810\uc5d0\uc11c \ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4\uac00 \ub3d9\uc77c\ud558\uc9c0 \uc54a\uc744 \ub54c \ud574\ub2f9 \uc9c0\uc810\uc5d0\uc11c \ud568\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \ubd88\uc5f0\uc18d \uc720\ud615\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-66fd7a55b2fad1a91622d738925d3304_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to a^-} f(x) \\neq \\lim_{x \\to a^+} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"175\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \uc608\ub97c \ub4e4\uc5b4, \uc815\uc758 \ubcc0\uacbd \uc9c0\uc810\uc5d0\uc11c \ub2e4\uc74c \uc870\uac01\uc73c\ub85c \uc815\uc758\ub41c \ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4\uac00 \ub2e4\ub974\uae30 \ub54c\ubb38\uc5d0 \ud568\uc218\ub294 \ud574\ub2f9 \uc9c0\uc810\uc5d0\uc11c \ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\uc2b5\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/saut-fini-inevitable-discontinuite.webp\" alt=\"\uc720\ud55c \uc810\ud504\uc758 \ubd88\uac00\ud53c\ud55c \ubd88\uc5f0\uc18d\uc131\" class=\"wp-image-1406\" width=\"275\" height=\"258\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f7173f197ec50976b07e8ab608ec4aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to a^-} f(x)=b \\qquad  \\lim_{x \\to a^+} f(x)=c\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"254\" style=\"vertical-align: -14px;\"><\/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-66fd7a55b2fad1a91622d738925d3304_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to a^-} f(x) \\neq \\lim_{x \\to a^+} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"175\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc740 \uc77c\ubc18\uc801\uc73c\ub85c \uc870\uac01\ubcc4(\ub610\ub294 \uc870\uac01\ubcc4)\ub85c \uc815\uc758\ub41c \ud568\uc218\uc5d0 \ub098\ud0c0\ub0a9\ub2c8\ub2e4.<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\">\uc870\uac01\ubcc4 \ud568\uc218\uc758 \uc5f0\uc18d\uc131<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"discontinuidad-inevitable-de-salto-infinito\"><\/span> \ubb34\ud55c \uc810\ud504 \ubd88\uac00\ud53c\ud55c \ubd88\uc5f0\uc18d\uc131 <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-107\"><strong> <\/strong><\/div>\n<\/div>\n<p><strong>\ud53c\ud560 \uc218 \uc5c6\ub294 \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc740<\/strong> \uadf8 \uc9c0\uc810\uc5d0\uc11c \uce21\ubc29\ud55c\uacc4 \uc911 \ud558\ub098\uac00 \ubb34\ud55c\ud558\uac70\ub098 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc744 \ub54c \uae30\ub2a5\uc744 \ud558\ub294 \ubd88\uc5f0\uc18d\uc758 \uc77c\uc885\uc774\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-a67f3a84bbd7cc965e932b0cb681912a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to a^-} f(x) = \\pm \\infty \\qquad \\lim_{x \\to a^+} f(x)= \\pm \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"301\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-102\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p> \ub2e4\uc74c \ud568\uc218\uc758 \uc67c\ucabd \uadf9\ud55c\uc740 \uc2e4\uc218\ub97c \uc81c\uacf5\ud558\uc9c0\ub9cc \uc624\ub978\ucabd \uadf9\ud55c\uc740 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774 \uae30\ub2a5\uc740 \ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/saut-infini-discontinuite.webp\" alt=\"\ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\" class=\"wp-image-1411\" width=\"276\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e12509ad0839664b52f4224f0fc2e56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to a^-} f(x)=b \\qquad \\lim_{x \\to a^+} f(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"277\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-left\"> \uc544\ub798\uc5d0\uc11c \ub450 \uce21\uba74 \ud55c\uacc4\uac00 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud558\ubbc0\ub85c \ud568\uc218\uc5d0 \ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc774 \uc788\ub294 \uadf8\ub798\ud504 \ud568\uc218\ub97c \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/discontinuite-infinie.webp\" alt=\"\ubb34\ud55c\ud55c \ubd88\uc5f0\uc18d\uc131\" class=\"wp-image-1412\" width=\"276\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99099617bca8a79ef975169f06f5c14e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to a^-} f(x)=-\\infty \\qquad \\lim_{x \\to a^+} f(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"301\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc740 \uc77c\ubc18\uc801\uc73c\ub85c <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110b\u1172\u1105\u1175\u1112\u1161\u11b7\u1109\u116e\/\">\uc720\ub9ac(\ub610\ub294 \ubd84\uc218) \ud568\uc218<\/a><\/span> \uc5d0\uc11c \ubc1c\uc0dd\ud569\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-tipos-de-discontinuidades\"><\/span> \ubd88\uc5f0\uc18d \uc720\ud615\uc5d0 \ub300\ud55c \ud574\uacb0 \uc5f0\uc2b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1 <\/h3>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-108\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>x=3 \uc9c0\uc810\uc5d0\uc11c \ub2e4\uc74c \uc870\uac01\ubcc4 \ud568\uc218\uc758 \ubd88\uc5f0\uc18d \uc720\ud615\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-8185827ad36ab3921bb96eb5a6da21a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} -2x+1 &amp;  \\text{si} &amp;  x\\leq 3 \\\\[2ex] 4x - 5 &amp; \\text{si} &amp; x > 3 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;232&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ud568\uc218\uc758 \uccab \ubc88\uc9f8 \uc694\uc18c\uc758 \uc601\uc5ed,<\/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-490b7f67d1b8735fc34485932796cef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"61\" style=\"vertical-align: -2px;\"><\/p>\n<p> , \ub450 \ubc88\uc9f8 \uc791\ud488\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82dafeb4abb94d9f10e1603d00cc3d59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \ub2e4\ud56d \ud568\uc218\uc774\uae30 \ub54c\ubb38\uc5d0 \ubaa8\ub450 \uc2e4\uc218\uc785\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ud568\uc218\uac00 \ubd88\uc5f0\uc18d\uc801\uc77c \uc218 \uc788\ub294 \uc720\uc77c\ud55c \uc9c0\uc810\uc740 \uc870\uac01\ubcc4 \ud568\uc218\uc758 \uc911\uc9c0 \uc9c0\uc810\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774 \ub2e8\uacc4\uc5d0\uc11c\ub294 \uce21\uba74 \ud55c\uacc4\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-e5aa03a9198a249e6cb09793b67754f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to 3^-} f(x)=\\lim_{x \\to 3} (-2x+1) = -2\\cdot 3+1=-5\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"349\" style=\"vertical-align: -14px;\"><\/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-c8e29ea20c018b8936dca674ada7590a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lim_{x \\to 3^+} f(x)=\\lim_{x \\to 3}(4x-5)=4\\cdot 3-5=7\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"308\" style=\"vertical-align: -14px;\"><\/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-ffa1cc3d456b55bfef8f4a5999e072e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 3^-} f(x) \\neq \\lim_{x \\to 3^+} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"174\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=3\uc758 \ub450 \uce21\uba74 \ud55c\uacc4\ub294 \uc11c\ub85c \ub2e4\ub978 \uacb0\uacfc\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c x=3 \uc9c0\uc810\uc740 \ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc810\uc785\ub2c8\ub2e4.<\/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 \uc720\ub9ac \ud568\uc218\uac00 \ud574\ub2f9 \uc601\uc5ed\uc5d0 \uc18d\ud558\uc9c0 \uc54a\ub294 \uc810\uc5d0\uc11c \uc5b4\ub5a4 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc744 \ub098\ud0c0\ub0b4\ub294\uc9c0 \ucc3e\uc544\ubcf4\uc138\uc694. <\/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-44d5d873cde7d3365fc55943c61e78f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\cfrac{x^2-4}{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"109\" 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>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ub17c\ub9ac\uc801\uc73c\ub85c \uc774 \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub824\uba74 \uba3c\uc800 \ud568\uc218\uc758 \uc601\uc5ed\uc744 \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774\uac83\uc740 \uc720\ub9ac\ud568\uc218\uc774\ubbc0\ub85c \ubd84\ubaa8\ub97c 0\uc73c\ub85c \uc124\uc815\ud558\uace0 \uacb0\uacfc \ubc29\uc815\uc2dd\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-24e301fa7ea2e8d9f0041192d9a84927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"73\" style=\"vertical-align: -2px;\"><\/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-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/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-fbd5fe607cd89a42b4db6e52bc047c56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{-2\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ud568\uc218\ub294 x=-2\ub97c \uc81c\uc678\ud55c \ubaa8\ub4e0 \uc9c0\uc810\uc5d0\uc11c \uc5f0\uc18d\uc774\ubbc0\ub85c x=-2 \uc9c0\uc810\uc774 \uc5b4\ub5a4 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc778\uc9c0 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \ud574\ub2f9 \uc9c0\uc810\uc5d0\uc11c \ud568\uc218\uc758 \ud55c\uacc4\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-bf6f3ceb66dcd630224097f54365ef24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2} \\cfrac{x^2-4}{x+2} = \\cfrac{ (-2)^2-4}{-2+2}= \\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"227\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub7ec\ub098 \uc6b0\ub9ac\ub294 0 \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc131\uc744 0\uc73c\ub85c \uc5bb\uc73c\ubbc0\ub85c \ubd84\uc790\uc640 \ubd84\ubaa8\uc758 \ub2e4\ud56d\uc2dd\uc744 \uc778\uc218\ubd84\ud574\ud558\uace0 \ub2e8\uc21c\ud654\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-e939f4fee6ac399b046fa809daab31c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2} \\cfrac{x^2-4}{x+2}=\\lim_{x \\to -2} \\cfrac{ (x-2)\\cancel{(x+2)}}{\\cancel{x+2}}  =\\lim_{x \\to -2} (x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"385\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ud55c\uacc4\ub97c \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-5e05e20f45a4d8b2fbe26bb0d3ae5091_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2} (x-2) =-2-2=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uacb0\uacfc\uc801\uc73c\ub85c, x=-2 \uc9c0\uc810\uc5d0\uc11c \ud568\uc218\uc758 \uadf9\ud55c\uc740 \uc874\uc7ac\ud558\uba70 -4\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \uc774\uc81c \uc874\uc7ac\ud558\ub294\uc9c0 \ud655\uc778\ud574\ubcf4\uc790 <\/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-80b84d482e50cebc375313e005736c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-2):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/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-c58a37ec90f203b24b790c7cfacaf2c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-2)=\\cfrac{(-2)^2-4}{-2+2}= \\cfrac{4-4}{0} = \\cfrac{0}{0} \\quad \\bm{\\longrightarrow} \\quad \\cancel{\\exists} \\ f(2)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"359\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud568\uc218\uc758 \uc774\ubbf8\uc9c0\ub97c \uacc4\uc0b0\ud560 \ub54c \ubd88\ud655\uc815\uc131 0\/0\uc740 \ub2e8\uc21c\ud654\ud560 \uc218 \uc5c6\uc73c\uba70 \ud574\ubc95\ub3c4 \uc5c6\uc2b5\ub2c8\ub2e4. \uadf8\ub798\uc11c<\/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-7ee53c0d0a8e84c09c63d946334cd34b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<p> \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \uacb0\ub860\uc801\uc73c\ub85c x=-2\uc5d0\uc11c \ud568\uc218\uc758 \uadf9\ud55c\uc740 \uc874\uc7ac\ud558\uc9c0\ub9cc,<\/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-7ee53c0d0a8e84c09c63d946334cd34b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<p> \uc544\ub2c8\uc694. \ub530\ub77c\uc11c x=-2\ub294 \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc785\ub2c8\ub2e4.<\/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><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-110\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>\ub2e4\uc74c \uc720\ub9ac \ud568\uc218\uc758 \uc5f0\uc18d\uc131\uc744 \ubd84\uc11d\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-59ee18262fd6f3427ebab6ceabb22868_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{2}{x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"101\" 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>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc5f0\uc18d\ud568\uc218\uc778\uc9c0 \ud655\uc778\ud558\ub824\uba74 \uba3c\uc800 \uc815\uc758\uc5ed\uc744 \uacc4\uc0b0\ud574\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc5b4\ub5a4 \uc810\uc774 \ub3c4\uba54\uc778\uc5d0 \uc18d\ud558\uc9c0 \uc54a\ub294\uc9c0 \ud655\uc778\ud558\uae30 \uc704\ud574 \uc720\ub9ac \ud568\uc218\uc758 \ubd84\ubaa8\ub97c 0\uc73c\ub85c \uc124\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-845b4cbd750afedb8e09b0ed6a9809c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"73\" style=\"vertical-align: 0px;\"><\/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-8ddab230605c435eb8b7408a736d3e77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"><\/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-96a28ea816d10d62e90dd13ad1aa79c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{5\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ud568\uc218\ub294 x=5\ub97c \uc81c\uc678\ud55c \ubaa8\ub4e0 \uc810\uc5d0\uc11c \uc5f0\uc18d\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774 \uc2dc\uc810\uc5d0\uc11c \ud55c\uacc4\ub97c \uacc4\uc0b0\ud558\uc5ec x=5\uac00 \uc5b4\ub5a4 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc778\uc9c0 \uc0b4\ud3b4\ubcf4\uaca0\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-976747f92d549df73e0cf24ee4ff2953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 5} \\frac{2}{x-5} = \\frac{2}{5-5} = \\frac{2}{0} = \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"220\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc6b0\ub9ac\ub294 0\uc73c\ub85c \ub098\ub208 \uc22b\uc790\uc758 \ubd88\ud655\uc815\uc131\uc744 \ubc1c\uacac\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c x=5\uc5d0\uc11c \ud568\uc218\uc758 \uce21\uba74 \ud55c\uacc4\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-98edca328c2637f8b7ae59dde1789f44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 5^{-}} \\frac{2}{x-5}=\\frac{2}{4,999-5}=\\frac{2}{-0}= \\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"292\" style=\"vertical-align: -16px;\"><\/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-378f3bdf00d4375069e68f4fc8547ca0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 5^{+}} \\frac{2}{x-5}=\\frac{2}{5,001-5}=\\frac{2}{+0}=\\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"292\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=5\uc5d0\uc11c \ud568\uc218\uc758 \uc67c\ucabd \uadf9\ud55c\uc740 \ub9c8\uc774\ub108\uc2a4 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud558\uace0 \uc624\ub978\ucabd \uadf9\ud55c\uc740 \ud50c\ub7ec\uc2a4 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\ub294 x = 5\uc5d0\uc11c \ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\uc2b5\ub2c8\ub2e4. \uc774 \uc9c0\uc810\uc5d0\uc11c \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \uce21\uba74 \uadf9\ud55c\uc740 \ubb34\ud55c\ub300 \uacbd\ud5a5\uc774 \uc788\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4.<\/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 \uadf8\ub798\ud504\uc5d0 \ud45c\uc2dc\ub41c \uc870\uac01\ubcc4 \ud568\uc218\uc758 \ubaa8\ub4e0 \ubd88\uc5f0\uc18d\uc131\uc744 \uacb0\uc815\ud569\ub2c8\ub2e4. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-discontinuites-de-fonctions.webp\" alt=\"\uc6b4\ub3d9\uc740 \uae30\ub2a5\uc758 \ubd88\uc5f0\uc18d\uc131\uc744 \ud574\uacb0\ud588\uc2b5\ub2c8\ub2e4.\" class=\"wp-image-1433\" width=\"400\" height=\"344\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ud568\uc218\ub97c \uadf8\ub9ac\ub824\uba74 x=-2, x=1, x=4\uc5d0\uc11c \uc5f0\ud544\uc744 \uc62c\ub824\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\ub294 \uc774 \uc138 \uc9c0\uc810\uc5d0\uc11c \ubd88\uc5f0\uc18d\uc801\uc785\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> x=-2\uc5d0\uc11c \uc67c\ucabd \uadf9\ud55c\uc740 +\uc774\uace0 \uc624\ub978\ucabd \uadf9\ud55c\uc740 3\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uce21\uba74 \uadf9\ud55c \uc911 \ud558\ub098\uac00 \ubb34\ud55c\ud558\uae30 \ub54c\ubb38\uc5d0 \ud568\uc218\ub294 x=-2\uc5d0\uc11c \ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\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-eff79ace33659ceb8203e6e27f38fe35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2^-} f(x) = +\\infty \\ \\neq \\ \\lim_{x \\to -2^+} f(x) = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"296\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=1\uc5d0\uc11c \ud568\uc218\uc758 \uadf9\ud55c\uc740 0\uc774\uace0, \ubc18\uba74\uc5d0 x=1\uc5d0\uc11c \ud568\uc218\uc758 \uac12\uc740 2\uc640 \uac19\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\ub294 x=1\uc5d0\uc11c \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131\uc744 \ub098\ud0c0\ub0c5\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-3a616cc5210984ffeed3525a219dd53a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) =   \\lim_{x \\to 1^+} f(x) = 0 \\ \\bm{\\longrightarrow} \\ \\lim_{x \\to 1} f(x) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"350\" style=\"vertical-align: -14px;\"><\/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-9a3aea29db1a67d08d91d510033ffd1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1} f(x) =  0 \\neq  f(1) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x = 4\uc5d0\uc11c \uc67c\ucabd \uadf9\ud55c\uc740 -3\uc774\uace0 \uc624\ub978\ucabd \uadf9\ud55c\uc740 1\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub450 \uce21\uba74 \uadf9\ud55c\uc774 \ub2e4\ub974\uace0 \ub458 \ub2e4 \ubb34\ud55c\ub300\ub97c \uc81c\uacf5\ud558\uc9c0 \uc54a\uc73c\ubbc0\ub85c \ud568\uc218\ub294 \ud544\uc5f0\uc801\uc73c\ub85c x =4\uc5d0\uc11c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\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-b758745a987f927350b2d885009c3a87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 4^-} f(x) = -3 \\ \\neq \\ \\lim_{x \\to 4^+} f(x) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"265\" 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 5<\/h3>\n<p> \ub2e4\uc74c \uadf8\ub798\ud504\uc5d0 \ud45c\uc2dc\ub41c \ud568\uc218\uc758 \uc810\uadfc\uc120\uacfc \ubd88\uc5f0\uc18d\uc810\uc744 \ubaa8\ub450 \ucc3e\uc544\ubcf4\uc138\uc694. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-types-de-discontinuites-d-une-fonction.webp\" alt=\"\ud568\uc218\uc758 \ubd88\uc5f0\uc18d\uc131 \uc720\ud615\uc5d0 \ub300\ud55c \ud574\uacb0 \uc5f0\uc2b5\" class=\"wp-image-1435\" width=\"537\" height=\"453\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> <strong><span style=\"text-decoration: underline;\">\uc810\uadfc\uc120<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\"> \uc774 \ud568\uc218\ub294 \uc218\uc9c1\uc120 x=3\uc5d0 \ub9e4\uc6b0 \uac00\uae5d\uc9c0\ub9cc \uc808\ub300 \uac74\ub4dc\ub9ac\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ub610\ud55c x=3\uc5d0\uc11c \uc67c\ucabd \uce21\uba74 \uadf9\ud55c\uc740 +\ubb34\ud55c\ub300\uc774\uace0 \uc624\ub978\ucabd \uce21\uba74 \uadf9\ud55c\uc740 -\ubb34\ud55c\ub300\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c x=3\uc740 \uc218\uc9c1 \uc810\uadfc\uc120\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-89bdb1598b6153cec4e9efce7b0927b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 3^-} f(x)=+\\infty \\qquad \\lim_{x \\to 3^+} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc218\ud3c9\uc120 y=-1\uc5d0\uc11c\ub3c4 \uac19\uc740 \uc77c\uc774 \ubc1c\uc0dd\ud569\ub2c8\ub2e4. \ud568\uc218\ub294 y=-1\uc5d0 \ub9e4\uc6b0 \uac00\uae4c\uc6cc\uc9c0\uc9c0\ub9cc \uc808\ub300 \uad50\ucc28\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ub610\ud55c x\uac00 +\ubb34\ud55c\ub300\uc5d0 \uc811\uadfc\ud558\uace0 -\ubb34\ud55c\ub300\uc5d0 \uc811\uadfc\ud560 \ub54c \ud568\uc218\uc758 \uadf9\ud55c\uc740 -1\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c y=-1\uc740 \uc218\ud3c9 \uc810\uadfc\uc120\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-d0f0ee09aaa4a3bfa4fcb77ecc84640a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} f(x)=-1 \\qquad \\lim_{x \\to -\\infty} f(x)=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"297\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong><span style=\"text-decoration: underline;\">\ubd88\uc5f0\uc18d<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\"> x=6\uc5d0\uc11c\ub294 \uc5f4\ub9b0 \uc9c0\uc810\uc774 \uc788\uae30 \ub54c\ubb38\uc5d0 \uae30\ub2a5\uc774 \uc911\ub2e8\ub429\ub2c8\ub2e4. x\uac00 6\uc5d0 \uc811\uadfc\ud560 \ub54c\uc758 \ud55c\uacc4\ub294 -1.4\uc774\uc9c0\ub9cc f(6)=1\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\ub294 \uadf9\ud55c \uac12\uc774 \ud568\uc218 \uac12\uacfc \uc77c\uce58\ud558\uc9c0 \uc54a\uae30 \ub54c\ubb38\uc5d0 x=6\uc5d0\uc11c \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\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-33612be383c71fea04c8c886710f7f10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l} \\displaystyle \\lim_{x \\to 6^-} f(x)=-1,4\\\\[3ex] \\displaystyle \\lim_{x \\to 6^+} f(x)=-1,4 \\end{array} \\right\\} \\bm{\\longrightarrow} \\lim_{x \\to 6} f(x)=-1,4\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"326\" style=\"vertical-align: 0px;\"><\/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-647b9aea6cc8b605d7e8bc7d5e83ee64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 6} f(x)=-1,4 \\neq f(6)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=-3\uc5d0\uc11c\ub294 \uce21\uba74 \ud55c\uacc4\uac00 \uc77c\uce58\ud558\uc9c0 \uc54a\uc73c\uba70 \ubb34\ud55c\ub300\uac00 \uc81c\uacf5\ub418\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774 \ud568\uc218\ub294 x=-3\uc5d0\uc11c \ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\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-3f7d2a2c7abbc525adfcc7576b449f1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -3^-} f(x)=-2 \\neq \\lim_{x \\to -3^+} f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"275\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \ud568\uc218\ub294 x = 3\uc5d0\uc11c \ubd88\uac00\ud53c\ud55c \ubb34\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131\uc744 \uac16\uc2b5\ub2c8\ub2e4. \uc774 \uc9c0\uc810\uc5d0\uc11c \uc801\uc5b4\ub3c4 \ud558\ub098\uc758 \uce21\uba74 \uadf9\ud55c\uc774 \ubb34\ud55c\ub300\uac00 \ub418\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-89bdb1598b6153cec4e9efce7b0927b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 3^-} f(x)=+\\infty \\qquad \\lim_{x \\to 3^+} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uc5b4\ub5a4 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc774 \uc874\uc7ac\ud558\ub294\uc9c0 \uc54c\uc544\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub610\ud55c, \ubaa8\ub4e0 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc131\uc5d0 \ub300\ud55c \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70, \ud568\uc218\uc758 \ubd88\uc5f0\uc18d \uc720\ud615\uc5d0 \ub300\ud55c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubaa8\ub4e0 \uc720\ud615\uc758 \ubd88\uc5f0\uc18d\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c? \ubd88\uc5f0\uc18d\uc5d0\ub294 \uc138 \uac00\uc9c0 \uc720\ud615\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ud53c\ud560 \uc218 \uc788\ub294 \ubd88\uc5f0\uc18d\uc131 : \ud55c \uc810\uc5d0\uc11c \ud568\uc218\uc758 \uce21\uba74 \uadf9\ud55c\uc774 \ud568\uc218 \uac12\uacfc \uc77c\uce58\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \ubd88\uac00\ud53c\ud55c \uc720\ud55c \uc810\ud504 \ubd88\uc5f0\uc18d\uc131 : \ud55c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%eb%b6%88%ec%97%b0%ec%86%8d%ec%9d%98-%ec%a2%85%eb%a5%98\/\"> <span class=\"screen-reader-text\">\ubd88\uc5f0\uc18d\uc131\uc758 \uc720\ud615<\/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-26","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized 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