{"id":22,"date":"2023-09-17T11:08:30","date_gmt":"2023-09-17T11:08:30","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%82%bc%ea%b0%81%eb%b2%95-%ed%95%9c%ea%b3%84\/"},"modified":"2023-09-17T11:08:30","modified_gmt":"2023-09-17T11:08:30","slug":"%ec%82%bc%ea%b0%81%eb%b2%95-%ed%95%9c%ea%b3%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%82%bc%ea%b0%81%eb%b2%95-%ed%95%9c%ea%b3%84\/","title":{"rendered":"\uc0bc\uac01\ubc95 \ud55c\uacc4"},"content":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ubd05\ub2c8\ub2e4. \uc0bc\uac01 \ud568\uc218\uc758 \uadf9\ud55c\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70 \uc0bc\uac01 \uadf9\ud55c\uc5d0 \ub300\ud55c \ub2e8\uacc4\ubcc4 \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uc5ec \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-trigonometricos\"><\/span> \uc0bc\uac01\ubc95 \uadf9\ud55c\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uc0bc\uac01 \uadf9\ud55c\uc740 \uc0bc\uac01 \ud568\uc218\uc5d0 \ub300\ud574 \uacc4\uc0b0\ub41c \uadf9\ud55c\uc785\ub2c8\ub2e4.<\/strong> \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ud574\uacb0\ud558\ub824\uba74 \uc77c\ubc18\uc801\uc73c\ub85c \ubd88\ud655\uc815\uc774 \ubc1c\uc0dd\ud558\uae30 \ub54c\ubb38\uc5d0 \uc608\ube44 \uc808\ucc28\ub97c \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p> \ub610\ud55c \uc0bc\uac01\ud568\uc218\ub294 \uc8fc\uae30\ud568\uc218\uc774\uae30 \ub54c\ubb38\uc5d0 \ubb34\ud55c\ud55c \uadf9\ud55c\uc740 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \uc989, \uadf8\ub798\ud504\ub294 \ud2b9\uc815 \uac12\uc744 \ud5a5\ud558\uc9c0 \uc54a\uace0 \uc8fc\uae30\uc801\uc73c\ub85c \uc9c0\uc18d\uc801\uc73c\ub85c \ubc18\ubcf5\ub429\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formulas-de-los-limites-trigonometricos\"><\/span> \uc0bc\uac01\ubc95 \uadf9\ud55c \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ubaa8\ub4e0 \uc0bc\uac01\ubc95 \ud55c\uacc4\ub294 \ub2e4\uc74c \ub450 \uacf5\uc2dd\uc73c\ub85c \uacc4\uc0b0\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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>\uacf5\uc2dd \uc2dc\uc5f0<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \ub300\uccb4\uc5d0 \uc758\ud574 \uadf9\ud55c\uc744 \uacc4\uc0b0\ud558\ub824\uace0 \ud558\uba74 0 \uc0ac\uc774\uc758 \ubd88\ud655\uc815\uc131 0\uc744 \uc5bb\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-0ba13ab3640b429e546e97da2a0ab155_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=\\frac{\\text{sen}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"193\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud558\uc9c0\ub9cc \uc774 \uc0bc\uac01\ubc95 \uacf5\uc2dd\uc740 \ub354 \uac00\uae4c\uc6b4 \ud568\uc218\uc640 x=0(\ub77c\ub514\uc548 \ub2e8\uc704\uc758 \uac01\ub3c4)\uc5d0 \ub354 \uac00\uae4c\uc6b4 \uac12\uc744 \uacc4\uc0b0\ud558\uc5ec \uc99d\uba85\ud560 \uc218 \uc788\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-2a7ed3df9110a97c224bde10980f2682_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"142\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-123\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ccd668acef73b9140a0cbbb9c1d53ad3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(-1)=\\cfrac{\\text{sen}(-1)}{-1}=0,84147\\\\[3ex]f(-0,1)=\\cfrac{\\text{sen}(-0,1)}{-0,1}=0,99833\\\\[3ex]f(-0,01)=\\cfrac{\\text{sen}(-0,01)}{-0,01}=0,99998\\\\[3ex]f(-0,001)=\\cfrac{\\text{sen}(-0,001)}{-0,001}=0,99999\\end{array}\\\\[14ex]\\vdots\\\\[2ex]\\displaystyle\\lim_{x\\to 0^-}\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"312\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66152efc3ce1fa761186a65db677af27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(1)=\\cfrac{\\text{sen}(1)}{1}=0,84147\\\\[3ex]f(0,1)=\\cfrac{\\text{sen}(0,1)}{0,1}=0,99833\\\\[3ex]f(0,01)=\\cfrac{\\text{sen}(0,01)}{0,01}=0,99998\\\\[3ex]f(0,001)=\\cfrac{\\text{sen}(0,001)}{0,001}=0,99999\\end{array}\\\\[14ex]\\vdots\\\\[2ex]\\displaystyle\\lim_{x\\to 0^+}\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"312\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc0bc\uac01 \ud568\uc218\uc758 \ub450 \uce21\uba74 \uadf9\ud55c\uc740 1\uc774\ubbc0\ub85c x=0 \uc9c0\uc810\uc5d0\uc11c\uc758 \uadf9\ud55c\uc740 1\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-8af649189957b154866097e315f7cb92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\lim_{x\\to 0^-}\\frac{\\text{sen}(x)}{x}=\\lim_{x\\to 0^+}\\frac{\\text{sen}(x)}{x}=1\\\\[3ex]\\color{orange}\\bm{\\downarrow}\\\\[2ex]\\lim_{x\\to 0}\\displaystyle\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"243\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c x\uac00 0\uc774 \ub420 \ub54c x\ub97c x\ub85c \ub098\ub208 \uc0ac\uc778\uc758 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc740 1\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \uc774 \uacf5\uc2dd\uc740 \uc5ec\ub7ec \uac01\ub3c4\uc5d0\ub3c4 \uc801\uc6a9\ub420 \uc218 \uc788\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-e8b276a8e0f8bf93f3ea2b7d0158adbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(kx)}{kx}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" 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>\uacf5\uc2dd \uc2dc\uc5f0<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc9c1\uc811 \uce58\ud658\uc73c\ub85c \uadf9\ud55c\uc744 \ucc3e\uc73c\ub824\uace0 \ud558\uba74 0 \uc0ac\uc774\uc758 \ubd80\uc815\ud615 0\uc744 \uc5bb\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-3e50a5f25f1ca148a4e0107e75e62c43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=}\\frac{1-\\text{cos}(0)}{0}=\\frac{1-1}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"319\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud558\uc9c0\ub9cc \uc704\uc758 \uacf5\uc2dd\uc744 \ud1b5\ud574 \ub3d9\ub4f1\uc131\uc744 \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub807\uac8c \ud558\ub824\uba74 \uba3c\uc800 \ubd84\uc218\uc758 \ubd84\uc790\uc640 \ubd84\ubaa8\uc5d0 1\uacfc x\uc758 \ucf54\uc0ac\uc778\uc744 \uacf1\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-40196b4f425393970ff11577ef645dba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\bigl(1-\\text{cos}(x)\\bigr)\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"235\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ubd84\uc218\uc758 \ubd84\uc790\uc5d0 \uc8fc\ubaa9\ud560 \ub9cc\ud55c \ub3d9\uc77c\uc131\uc774 \uc788\uc73c\ubbc0\ub85c \ub2e8\uc21c\ud654\ud560 \uc218 \uc788\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-052fdb01d818c3baa3293d4e1927d37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1^2-\\text{cos}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/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-4b7f2f3a29d5eaebb5f226607e80dbb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uae30\ubcf8\uc801\uc778 \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd\ubd80\ud130 \uc2dc\uc791\ud558\uc5ec \ubd84\uc790\ub97c \ub2e4\uc2dc \uc791\uc131\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-ff23bded6a6a479ee358e635c74ef2fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1 \\ \\longrightarrow \\ \\text{sen}^2(x)=1-\\text{cos}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"381\" 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-df11237bdbf1c1ef5f607f08db54ca91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ubd84\uc218\ub97c \ubd84\uc218\uc758 \uacf1\uc73c\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\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-cff26553bbe1117d69b5a11e0371b996_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)\\cdot \\text{sen}(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"151\" style=\"vertical-align: -20px;\"><\/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-ac46678f2030eed0dc15696613ec60ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"178\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf9\ud55c\uc758 \uc18d\uc131\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc704 \ud45c\ud604\uc2dd\uc744 \uadf9\ud55c\uc758 \uacf1\uc73c\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\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-94b986a7b575a61eeba306ce22a6a01e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"209\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc704\uc5d0\uc11c \uc124\uba85\ud55c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uba74 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \uc27d\uac8c \ub2e8\uc21c\ud654\ud560 \uc218 \uc788\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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-6c46c6322634327f17aa601618460fd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"133\" style=\"vertical-align: -17px;\"><\/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-b446be13fe115291c38a7c34c192d571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"112\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uacb0\uacfc \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-bee04c527b0609fc39a7729ec6677874_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{\\text{sen}(0)}{1+\\text{cos}(0)}=\\frac{0}{1+1}=\\frac{0}{2}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"248\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc0bc\uac01\ubc95 \uadf9\ud55c \uacf5\uc2dd\uc774 \uac80\uc99d\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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub2e4\ub978 \uacf5\uc2dd\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \uc5ec\ub7ec \uac01\ub3c4\uc5d0\ub3c4 \uc0ac\uc6a9\ud560 \uc218 \uc788\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-afd4adcffaaad5d5b5c7063ec3542b5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(kx)}{kx}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"156\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \ub530\ub77c\uc11c <strong>\uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ud480\ub824\uba74 \uc0b0\uc220\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \ubcc0\ud658\ud558\uace0 \uc774\uc640 \uc720\uc0ac\ud55c \ud45c\ud604\uc2dd\uc744 \uc5bb\uc5b4\uc57c \ud569\ub2c8\ub2e4.<\/strong> \uc774\ub7f0 \uc2dd\uc73c\ub85c \ub450 \uacf5\uc2dd \uc911 \ud558\ub098\ub97c \uc0ac\uc6a9\ud558\uc5ec \uadf9\ud55c \uac12\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ubc18\uba74\uc5d0 \ub54c\ub85c\ub294 \ud2b9\uc815 \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd\uc744 \uc801\uc6a9\ud574\uc57c \ud560 \uc218\ub3c4 \uc788\uc73c\ubbc0\ub85c \uc544\ub798\uc758 \ubaa8\ub4e0 \uacf5\uc2dd\uc740 \uadc0\ud558\uc5d0\uac8c \ub9e1\uae41\ub2c8\ub2e4. <\/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>\uc0bc\uac01\ubc95\uc801 \uc815\uccb4\uc131<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc138 \uac00\uc9c0 \uc8fc\uc694 \uc0bc\uac01\ube44\ub97c \uc5f0\uacb0\ud558\ub294 \uacf5\uc2dd:<\/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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uae30\ubcf8 \uc0bc\uac01 \ud56d\ub4f1\uc2dd:<\/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-92d80771f891319379b2e756c5524aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uae30\ubcf8\uc5d0\uc11c \ud30c\uc0dd\ub41c \uc0bc\uac01 \uad00\uacc4: <\/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-983ec3f9bdead575a110ab13a3149351_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+\\text{tan}^2 (x)=\\cfrac{1}{\\text{cos}^2(x)}=\\text{sec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"245\" style=\"vertical-align: -17px;\"><\/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-7b04254cbdd6156ce5fd5449f5234a9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+\\text{cot}^2 (x)=\\cfrac{1}{\\text{sen}2(x)}=\\text{cosec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"262\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubc18\ub300 \uac01\ub3c4: <\/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-a0a5345d1ad85390cacfc38e99beb548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(-x)=-\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" 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-b7ef3e0d227838cf04c0f7413d1e07f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(-x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" 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-507f1aa7df63922130ea766d03aaf91a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(-x)=-\\text{tan}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub450 \uac01\ub3c4\uc758 \ud569: <\/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-58668a0aaa63a0e4c39b859619d2444a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(x+y)=\\text{sen}(x)\\text{cos}(y)+\\text{cos}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" 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-46aaa0aea1219b24ef354afcc8a15953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(x+y)=\\text{cos}(x)\\text{cos}(y)-\\text{sen}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"314\" 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-c5c001a17b792285beacf6cf91f93033_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x+y)=\\cfrac{\\text{tan}(x)+\\text{tan}(y)}{1-\\text{tan}(x)\\text{tan}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub450 \uac01\ub3c4\uc758 \ucc28\uc774: <\/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-02420c87f520da509e0193dab4798f55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(x-y) = \\text{sen}(x)\\text{cos}(y)-\\text{cos}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" 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-9d5d84d5fa7db15e90131596953bedb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(x-y) = \\text{cos}(x)\\text{cos}(y)+ \\text{sen}(x) sen(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"317\" 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-b5d01deaacd8e294bcfd6b6284231fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x-y)=\\cfrac{\\text{tan}(x)-\\text{tan}(y)}{1+\\text{tan}(x)\\text{tan}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc911 \uac01\ub3c4: <\/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-c135a8fb824883a8b8f9ff27a737a9d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(2x) = 2\\text{sen}(x)\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"185\" 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-91843029bf168eab0615f3bb849f2dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(2x) =\\text{cos}^2(x)-\\text{sen}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" 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-0cc8aed863858c3052e1dae8bdcdb377_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(2x) =\\cfrac{2\\text{tan}(x)}{1-\\text{tan}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"172\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubc18\uac01: <\/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-ccae2dc8b2bc812d68f9361538ebaf4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1-\\text{cos}(x)}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"201\" style=\"vertical-align: -13px;\"><\/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-6f87b3d54e5b0d7527bf38b2a7a71928_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1+\\text{cos}(x)}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"200\" style=\"vertical-align: -13px;\"><\/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-1126d8d443e0285d4ecc510a119b393d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{tan}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1-\\text{cos}(x)}{1+\\text{cos}(x)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"202\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc0ac\uc778\uacfc \ucf54\uc0ac\uc778\uc758 \ub367\uc148\uacfc \ube84\uc148: <\/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-457b2949084f43244b619fd965e403f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)+\\text{sen}(y)=2\\text{sen}\\left(\\frac{x+y}{2} \\right)\\text{cos}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"347\" style=\"vertical-align: -17px;\"><\/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-4ff2373c8559ef4bebc00a31c7c8f2ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)-\\text{sen}(y)=2\\text{cos}\\left(\\frac{x+y}{2} \\right)\\text{sen}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"347\" style=\"vertical-align: -17px;\"><\/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-625d75c4be2e5bbaca73e2a3f1e1980b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)+\\text{cos}(y)=2\\text{cos}\\left(\\frac{x+y}{2} \\right)\\text{cos}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"344\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0a498d3701c9c87123c269c81d266d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)-\\text{cos}(y)=-2\\text{sen}\\left(\\frac{x+y}{2} \\right)\\text{sen}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"360\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc0ac\uc778\uacfc \ucf54\uc0ac\uc778\uc758 \uacf1: <\/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-78ab2bb9d2bc291a1f7e4c9e329d893e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)\\cdot \\text{sen}(y)=\\frac{1}{2}\\Bigl[\\text{cos}(x-y)-\\text{cos}(x+y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"338\" 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-40daecfe989acfa36adb6772d193d027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)\\cdot \\text{cos}(y)=\\frac{1}{2}\\Bigl[\\text{cos}(x+y)+\\text{cos}(x-y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"336\" 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-b01d45ae9c7b57d25e2bd1bdfea9dba9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)\\cdot \\text{cos}(y)=\\frac{1}{2}\\Bigl[\\text{sen}(x+y)+\\text{sen}(x-y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"339\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \uc0bc\uac01\ubc95 \ud55c\uacc4\uac00 \uc5b4\ub5bb\uac8c \uacc4\uc0b0\ub418\ub294\uc9c0 \uc815\ud655\ud558\uac8c \ud655\uc778\ud560 \uc218 \uc788\ub3c4\ub85d \uc544\ub798\uc5d0 \ub2e8\uacc4\ubcc4 \uc608\ub97c \uc815\ub9ac\ud588\uc2b5\ub2c8\ub2e4.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-limite-trigonometrico\"><\/span> \uc0bc\uac01\ubc95 \uadf9\ud55c\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \uc608\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc0bc\uac01\ubc95 \uadf9\ud55c\uc774 \uc5b4\ub5bb\uac8c \ud574\uacb0\ub418\ub294\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-83fe05cfbae51406227f863405374405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"83\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uc0bc\uac01\ubc95 \ud55c\uacc4\ub97c \uacc4\uc0b0\ud558\ub824\uace0 \ud558\uba74 0 \uc0ac\uc774\uc758 0\uc758 \ubd88\ud655\uc815\uc131\uc744 \uc5bb\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-29fd7943ebb7d7c4ecc7886207c4a1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}=\\frac{\\text{tan}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/0-\u1109\u1161\u110b\u1175\u110b\u1174-0-0-0-\u1107\u116e\u11af\u1112\u116a\u11a8\u110c\u1165\u11bc\/\">0 \uc0ac\uc774\uc758 0 \uc81c\ud55c<\/a><\/span><\/p>\n<p> \ub530\ub77c\uc11c \uadf9\ud55c\uc744 \ud574\uacb0\ud558\ub824\uba74 \uc0bc\uac01\ud568\uc218\ub97c \ubcc0\ud658\ud574\uc57c \ud569\ub2c8\ub2e4. \ud0c4\uc820\ud2b8 \ud568\uc218\ub294 \uc0ac\uc778\uc744 \ucf54\uc0ac\uc778\uc73c\ub85c \ub098\ub208 \uac83\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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" style=\"vertical-align: -17px;\"><\/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-24793b3f48b399e9fd64b2eb6758f0c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}=\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \ubd84\uc218\uc758 \uc18d\uc131\uc744 \uc801\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \uacf1\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc788\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-fe877e223e062371ef4aa551372cfa69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\frac{\\displaystyle\\frac{a}{b}}{\\displaystyle\\frac{c}{d}}=\\frac{a\\cdot d}{b\\cdot c}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"73\" style=\"vertical-align: -30px;\"><\/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-dd10c321c3b7dc40698b318c7187a3c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{\\displaystyle\\frac{x}{1}}=\\lim_{x\\to 0}{\\frac{\\text{sen}(x)\\cdot 1}{\\text{cos}(x) \\cdot x}=\\\\[6ex]\\displaystyle =\\lim_{x\\to 0}{\\frac{\\text{sen}(x)}{x\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\frac{1}{\\text{cos}(x)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"282\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uadf9\ud55c\uc758 \uc18d\uc131\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub450 \uacf1\uc148 \ud568\uc218\uc758 \uadf9\ud55c\uc744 \ub450 \uadf9\ud55c\uc758 \uacf1\uc73c\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\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-38f278cf96ac97997db5ffe530037582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\frac{1}{\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"350\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc704\uc5d0\uc11c \ubcf8 \uac83\ucc98\ub7fc \uccab \ubc88\uc9f8 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc740 1\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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-8ac5a01bca48ac7a961a99be694dcd8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=1\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"413\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ub2e4\uc74c \uacc4\uc0b0\uc744 \uc218\ud589\ud558\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-24b950800435e32f07649e25afd6d68e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=\\frac{1}{\\text{cos}(0)}=\\frac{1}{1}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"225\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-limites-trigonometricos\"><\/span> \uc0bc\uac01\ubc95 \ud55c\uacc4\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> \ub2e4\uc74c \uc0bc\uac01\ubc95 \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-730128e3fffaf36349ed1c2db19d8796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"91\" 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\"> \uba3c\uc800 \uc9c1\uc811 \ud3c9\uac00\ub97c \ud1b5\ud574 \uc0bc\uac01\ubc95 \ud55c\uacc4\ub97c \uacc4\uc0b0\ud574 \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-b46144b4ff38b63a3c428b5aa60ffb5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}=\\frac{\\text{sen}(4\\cdot 0)}{2\\cdot 0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"224\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub7ec\ub098 \uc6b0\ub9ac\ub294 \ubd88\ud655\uc815\uc131\uc774 0\uc774 \uc544\ub2cc 0\uc744 \uc5bb\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\uc5d0 \ubcc0\ud658\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \uba3c\uc800 \ub2e4\uc74c\uc744 \uc218\ud589\ud558\uc5ec \ubd84\ubaa8\uc5d0 x\ub97c \uadf8\ub300\ub85c \ub461\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-66cfa67d319a268be5ac3c6eaf733240_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}=\\lim_{x\\to 0}\\frac{1}{2}\\cdot\\frac{\\text{sen}(4x)}{x}=\\frac{1}{2}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"375\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ubd84\uc218\uc5d0 4\ub97c \uacf1\ud558\uace0 \ub098\ub204\uc5b4 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc5d0 \ub300\ud55c \uccab \ubc88\uc9f8 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud560 \uc218 \uc788\ub294 \ud45c\ud604\uc2dd\uc744 \uc5bb\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-caa05571515d0dbc716d6e8cb6b0be0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\frac{1}{2}\\lim_{x\\to 0}\\frac{\\text{sen}(4x)\\cdot 4}{x\\cdot 4}=\\frac{1}{2}\\cdot 4 \\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}=2\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"418\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \ucc98\uc74c\uc5d0 \ubcf8 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud558\uace0 \uc0bc\uac01\ubc95 \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-e8b276a8e0f8bf93f3ea2b7d0158adbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(kx)}{kx}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" 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-e21a4ad74086fda398299e2d83c9a052_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}=2\\cdot 1=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"190\" style=\"vertical-align: -12px;\"><\/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 \uc0bc\uac01\ubc95 \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-8b6eb2bc6fa65e96cfe55e695b93b2cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"153\" 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\"> \uba3c\uc800 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ucc3e\uc73c\ub824\uace0 \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-2e4a361830bf074dfb37219d1288c315_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}=\\frac{\\text{sen}(0)+\\text{tan}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"334\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub7ec\ub098 \ubd88\ud655\uc815 \ud615\uc2dd 0\uc740 0\uc5d0 \ub3c4\ub2ec\ud55c \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub7f0 \ub2e4\uc74c \ud0c4\uc820\ud2b8\ub97c \uc0ac\uc778\uacfc \ucf54\uc0ac\uc778\uc758 \ubaab\uc73c\ub85c \ubcc0\ud658\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-e8dbbefdca880d5806977d6b13b473b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}=\\lim_{x\\to 0}\\frac{\\displaystyle\\text{sen}(x)+\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x\uc758 \ucf54\uc0ac\uc778\uc744 \uacf1\ud558\uace0 \ub098\ub215\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-53452abaa54f3c7e46b75965500221ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\left(\\displaystyle\\text{sen}(x)+\\frac{\\text{sen}(x)}{\\text{cos}(x)}\\right)\\cdot\\text{cos}(x)}{x\\cdot\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)\\text{cos}(x)+\\text{sen}(x)}{x\\cdot\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"469\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc5d0\uc11c \uacf5\ud1b5 \uc778\uc218\ub97c \ucde8\ud558\uace0 \uc0bc\uac01 \uadf9\ud55c\uc744 \ub450 \uac1c\ub85c \ubd84\ub9ac\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-eeaa601256f134072260480b64210950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)(\\text{cos}(x)+1)}{x\\cdot\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{cos}(x)+1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"408\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc0bc\uac01\ubc95 \uadf9\ud55c\uc758 \uacb0\uacfc\ub97c \ucc3e\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-7259ba5ebcb847c0953947ca2fb1d219_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{cos}(x)+1}{\\text{cos}(x)}=1\\cdot\\frac{\\text{cos}(0)+1}{\\text{cos}(0)} =\\frac{1+1}{1}=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"435\" 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> x\uac00 0\uc5d0 \uac00\uae4c\uc6cc\uc9c8 \ub54c \ub2e4\uc74c \uc0bc\uac01 \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-f9da1c65931e93b840821e76bc20d629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)-\\text{sen}{(x)}}{3x\\cdot\\text{tan}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -17px;\"><\/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\"> \uc9c1\uc811 \uacc4\uc0b0\uc744 \uc218\ud589\ud558\uc5ec 0 \uc0ac\uc774\uc758 \ubd88\ud655\uc815 \ud55c\uacc4 0\uc744 \uc5bb\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-67e20b7fd699b38122cab6a801cc5655_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}}\\frac{\\text{tan}(x)-\\text{sen}(x)}{3x\\cdot\\text{tan}(x)}=\\frac{\\text{tan}(0)-\\text{sen}(0)}{3\\cdot 0\\cdot\\text{tan}(0)}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"334\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uac01 \ud56d\uc744 x\uc758 \ud0c4\uc820\ud2b8\ub85c \ub098\ub204\uc5b4 \uadf9\ud55c\uc744 \ub2e8\uc21c\ud654\ud558\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-d9036c709f0cf05a0e1d3e53a1f81af8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{tan}(x)}{\\text{tan}(x)}-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{\\displaystyle\\frac{3x\\cdot\\text{tan}(x)}{\\text{tan}(x)}}=\\lim_{x\\to 0}\\frac{\\displaystyle 1-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"305\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub458\uc9f8, \uae30\ubcf8\uc801\uc778 \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd\uc73c\ub85c\ubd80\ud130 \ubd84\uc790\uc758 \ubd84\uc218\uac00 x\uc758 \ucf54\uc0ac\uc778\uacfc \ub3d9\uc77c\ud558\ub2e4\ub294 \uac83\uc744 \ucd94\ub860\ud560 \uc218 \uc788\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-2c4733e791e3ea6006f69e25c3db9f99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\\ \\longrightarrow \\ \\text{cos}(x)=\\cfrac{\\text{sen}(x)}{\\text{tan}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"297\" style=\"vertical-align: -17px;\"><\/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-061c6b3972071af7e6227fad37ec4019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle 1-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{3x}=\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"255\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \uc0bc\uac01\ubc95 \uadf9\ud55c \uc774\ub860\uc5d0\uc11c \uc785\uc99d\ub41c \ub450 \ubc88\uc9f8 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud558\uba74 \uadf9\ud55c\uc744 \uc27d\uac8c \ud480 \uc218 \uc788\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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" 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-b1ee20bc86ad7559fcda3d6bad3c9b27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{3x}=\\lim_{x\\to 0}\\frac{1}{3}\\cdot \\frac{1-\\text{cos}(x)}{x}=\\\\[4ex]\\displaystyle =\\frac{1}{3}\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=\\frac{1}{3}\\cdot 0=\\bm{0}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"294\" style=\"vertical-align: 0px;\"><\/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> x=0 \uc9c0\uc810\uc5d0\uc11c \ub2e4\uc74c \uc0bc\uac01 \uadf9\ud55c\uc758 \ud574\ub97c \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-a7cbd12a8e0f0416e55baa4799395661_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"196\" 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\"> \uadf9\ud55c\uc744 \ud480\ub824\uace0 \ud558\uba74 \ubd80\uc815\ud615 0\/0\uc744 \ucc3e\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-0d1052ddde97caedf5e563febc26fad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}=\\frac{2\\text{sen}(0)\\text{cos}(0)\\text{sen}(5\\cdot 0)}{0^2}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"432\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubd84\uc790\uc5d0 \ub300\ud55c \ub300\uc218\uc2dd\uc740 \uc774\uc911 \uac01\ub3c4 \uc0ac\uc778\uc758 \uc0bc\uac01 \ud56d\ub4f1\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc2dc \uc791\uc131\ud560 \uc218 \uc788\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-2a7acdc1773c3d7fd430328604cee7d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(2x)=2\\text{sen}(x)\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"185\" 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-4426a183bebf1739384bda14bcd59dc7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}=\\lim_{x\\to 0}\\frac{\\text{sen}(2x)\\text{sen}(5x)}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"371\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \uc0bc\uac01 \ud568\uc218\uc758 \uadf9\ud55c\uc744 \uacf1\uc73c\ub85c \ubd84\ub9ac\ud574 \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-fc650634075435b782f1e7b921b77c02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(2x)\\cdot \\text{sen}(5x)}{x\\cdot x}=\\\\[4ex]\\displaystyle =\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\frac{\\text{sen}(5x)}{x}=\\\\[4ex]\\displaystyle =\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"163\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uadf9\ud55c\uc758 \uc18d\uc131\uc744 \uc801\uc6a9\ud558\uc5ec \uc0bc\uac01 \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-7c26ba3032828541e69e4bd976ac4f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{x}=\\\\[4ex]\\displaystyle =2\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{2x}\\cdot 5\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{5x}=\\\\[4ex]\\displaystyle =2\\cdot 1\\cdot 5\\cdot 1=\\bm{10}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"141\" width=\"278\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc54c\uc544\ubd05\ub2c8\ub2e4. \uc0bc\uac01 \ud568\uc218\uc758 \uadf9\ud55c\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70 \uc0bc\uac01 \uadf9\ud55c\uc5d0 \ub300\ud55c \ub2e8\uacc4\ubcc4 \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uc5ec \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uc0bc\uac01\ubc95 \uadf9\ud55c\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c? \uc0bc\uac01 \uadf9\ud55c\uc740 \uc0bc\uac01 \ud568\uc218\uc5d0 \ub300\ud574 \uacc4\uc0b0\ub41c \uadf9\ud55c\uc785\ub2c8\ub2e4. \uc0bc\uac01\ubc95 \uadf9\ud55c\uc744 \ud574\uacb0\ud558\ub824\uba74 \uc77c\ubc18\uc801\uc73c\ub85c \ubd88\ud655\uc815\uc774 \ubc1c\uc0dd\ud558\uae30 \ub54c\ubb38\uc5d0 \uc608\ube44 \uc808\ucc28\ub97c \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. \ub610\ud55c \uc0bc\uac01\ud568\uc218\ub294 \uc8fc\uae30\ud568\uc218\uc774\uae30 \ub54c\ubb38\uc5d0 \ubb34\ud55c\ud55c \uadf9\ud55c\uc740 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%82%bc%ea%b0%81%eb%b2%95-%ed%95%9c%ea%b3%84\/\"> <span class=\"screen-reader-text\">\uc0bc\uac01\ubc95 \ud55c\uacc4<\/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":[29],"tags":[],"class_list":["post-22","post","type-post","status-publish","format-standard","hentry","category-29"],"yoast_head":"<!-- This site is optimized 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