{"id":6691,"date":"2021-07-20T23:56:39","date_gmt":"2021-07-20T14:56:39","guid":{"rendered":"https:\/\/sasamath.com\/blog\/?page_id=6691"},"modified":"2022-03-06T19:51:06","modified_gmt":"2022-03-06T10:51:06","slug":"limit-of-a-function-at-a-point","status":"publish","type":"page","link":"https:\/\/sasamath.com\/blog\/invitation-to-calculus\/limit-of-a-function-at-a-point\/","title":{"rendered":"\uc810\uc5d0\uc11c \ud568\uc218\uc758 \uadf9\ud55c"},"content":{"rendered":"<div style=\"display: none; visibility: hidden;\">\n<style type=\"text\/css\">\n\timg.mfp-img { background-color: white; }\n<\/style>\n<p><!--\n\\[\n\\newcommand{\\vecf}{{\\mathbf{f}}}\n\\newcommand{\\vecL}{{\\mathbf{L}}}\n\\newcommand{\\vecR}{{\\mathbb{R}}}\n\\newcommand{\\imI}{\\boldsymbol{i}}\n\\]\n-->\n<\/div>\n<div class=\"box itc_intro\">\n<p>\uc774 \uae00\uc740 \u300e\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c\u300f 3\uc7a5 1\uc808\uc758 \ub0b4\uc6a9\uc785\ub2c8\ub2e4.&nbsp; <span class=\"itc_viewcontents\">(<a href=\"..\/\">\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c \ucc28\ub840 \ubcf4\uae30<\/a>)<\/span><\/p>\n<\/div>\n<p>\ud568\uc218 \\(f:D \\rightarrow \\mathbb{R}\\)\uac00 \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \uc810 \\(c\\)\uc5d0\uc11c \\(f\\)\uc758 \uadf9\ud55c\uc744 \uc815\uc758\ud558\ub824\uba74 \ubcc0\uc218 \\(x\\)\uac00 \\(c\\)\uc5d0 \ud55c\uc5c6\uc774 \uac00\uae4c\uc774 \ub2e4\uac00\uac08 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\uc758 \uadf9\ud55c\uc744 \uc815\uc758\ud558\uae30 \uc804\uc5d0 \uc9d1\uc801\uc810\uc758 \uac1c\ub150\uc744 \ub3c4\uc785\ud558\uc790.<\/p>\n<p>\\(D\\)\uac00 \uacf5\uc9d1\ud569\uc774 \uc544\ub2cc \uc9d1\ud569\uc774\uace0 \\(c\\)\uac00 \uc218\ub77c\uace0 \ud558\uc790. \uc5ec\uae30\uc11c \\(c\\)\uac00 \\(D\\)\uc758 \uc6d0\uc18c\uc77c \ud544\uc694\ub294 \uc5c6\ub2e4. \ub9cc\uc57d \uc138 \uc870\uac74<\/p>\n<ul>\n<li>\\(n\\rightarrow\\infty\\)\uc77c \ub54c \\(c_n \\rightarrow c,\\)<\/li>\n<li>\uc784\uc758\uc758 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \\(c_n \\ne c,\\)<\/li>\n<li>\uc784\uc758\uc758 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \\(c_n \\in D\\)<\/li>\n<\/ul>\n<p>\ub97c \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a4\ub294 \uc218\uc5f4 \\(\\left\\{ c_n \\right\\}\\)\uc774 \uc874\uc7ac\ud558\uba74, \\(c\\)\ub97c \\(D\\)\uc758 <span class=\"defined\">\uc9d1\uc801\uc810<\/span>(cluster point)\uc774\ub77c\uace0 \ubd80\ub978\ub2e4.<\/p>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.1.<\/span><\/p>\n<ol class=\"parenthesis\">\n<li>\\(I\\)\uac00 \uae38\uc774\uac00 \uc591\uc218\uc778 \uad6c\uac04\uc774\uba74 \\(I\\)\uc758 \ubaa8\ub4e0 \uc810\uc740 \\(I\\)\uc758 \uc9d1\uc801\uc810\uc774\ub2e4.<\/li>\n<li>\\(D = \\left\\{ \\frac{1}{n} \\,\\vert\\, n\\in\\mathbb{N}\\right\\}\\)\uc774\uba74 \\(0\\)\uc740 \\(D\\)\uc758 \uc9d1\uc801\uc810\uc774\ub2e4. \\(D\\)\ub294 \\(0\\) \uc774\uc678\uc758 \uc9d1\uc801\uc810\uc744 \uac16\uc9c0 \uc54a\ub294\ub2e4. \uc5ec\uae30\uc11c \\(0\\)\uc774 \\(D\\)\uc5d0 \uc18d\ud558\uc9c0 \uc54a\ub294\ub2e4\ub294 \uc0ac\uc2e4\uc5d0 \uc720\uc758\ud558\uc790.<\/li>\n<li>\uc720\ub9ac\uc218 \uc804\uccb4 \uc9d1\ud569\uc744 \\(\\mathbb{Q}\\)\ub77c\uace0 \ud558\uc790. \ubaa8\ub4e0 \uc2e4\uc218\ub294 \\(\\mathbb{Q}\\)\uc758 \uc9d1\uc801\uc810\uc774\ub2e4.<\/li>\n<li>\\(E\\)\uac00 \\(\\mathbb{R}\\)\uc758 \uc720\ud55c\ubd80\ubd84\uc9d1\ud569\uc774\uba74 \\(E\\)\ub294 \uc9d1\uc801\uc810\uc744 \uac16\uc9c0 \uc54a\ub294\ub2e4.<\/li>\n<li>\\(\\left\\{ a_n \\right\\}\\)\uc774 \ubaa8\ub4e0 \ud56d\uc774 \uc11c\ub85c \ub2e4\ub978 \uc218\uc5f4\uc774\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 \uc9d1\ud569 \\(\\left\\{ a_n \\,\\vert\\, n\\in\\mathbb{N}\\right\\}\\)\uc758 \uc9d1\uc801\uc810\uacfc \uc218\uc5f4 \\(\\left\\{a_n\\right\\}\\)\uc758 \uc9d1\uc801\uc810\uc774 \uc77c\uce58\ud55c\ub2e4.<\/li>\n<li>\\(\\left\\{ b_n \\right\\}\\)\uc774 \uc0c1\uc218 \uc218\uc5f4\uc774\uba74 \uc9d1\ud569 \\(\\left\\{ b_n \\,\\vert\\, n\\in\\mathbb{N}\\right\\}\\)\uc740 \uc9d1\uc801\uc810\uc744 \uac16\uc9c0 \uc54a\ub294\ub2e4.<\/li>\n<\/ol>\n<\/div>\n<p>\uc774\uc81c \ud568\uc218\uc758 \uadf9\ud55c\uc744 \uc815\uc758\ud558\uc790. \ud568\uc218 \\(f:D \\rightarrow \\mathbb{R}\\)\uac00 \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \uadf8\ub9ac\uace0 \\(c\\)\uac00 \\(D\\)\uc758 \uc9d1\uc801\uc810\uc774\ub77c\uace0 \ud558\uc790.<\/p>\n<div style=\"margin-top: 2em; margin-bottom: 2em;\"><img decoding=\"async\" src=\"\/blog\/wp-content\/uploads\/2021\/08\/ic_ch03_se01_img1.png\" alt=\"\" width=\"192\" height=\"188\" class=\"aligncenter size-full wp-image-7205\" srcset=\"https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/ic_ch03_se01_img1.png 577w, https:\/\/sasamath.com\/blog\/wp-content\/uploads\/2021\/08\/ic_ch03_se01_img1-300x293.png 300w\" sizes=\"(max-width: 192px) 100vw, 192px\" \/><\/div>\n<p>\ub9cc\uc57d \\(x\\)\uac00 \\(x\\ne c\\)\ub97c \uc720\uc9c0\ud55c \ucc44\ub85c \\(c\\)\uc5d0 \ud55c\uc5c6\uc774 \uac00\uae4c\uc774 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uc758 \uac12\uc774 \ud558\ub098\uc758 \uac12 \\(L\\)\uc5d0 \ud55c\uc5c6\uc774 \uac00\uae4c\uc774 \ub2e4\uac00\uac00\uba74<\/p>\n<p class=\"aligncenter\">\u201c\\(c\\)\uc5d0\uc11c \\(f(x)\\)\uac00 \\(L\\)\uc5d0 \uc218\ub834\ud55c\ub2e4.\u201d<\/p>\n<p>\ub610\ub294<\/p>\n<p class=\"aligncenter\">\u201c\\(x\\)\uac00 \\(c\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uac00 \\(L\\)\uc5d0 \uc218\ub834\ud55c\ub2e4.\u201d<\/p>\n<p>\ub610\ub294<\/p>\n<p class=\"aligncenter\">\u201c\\(x\\)\uac00 \\(c\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uac00 \\(L\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4.\u201d<\/p>\n<p>\ub77c\uace0 \ub9d0\ud55c\ub2e4. \uc774\ub54c \\(L\\)\uc744 \\(c\\)\uc5d0\uc11c \\(f\\)\uc758 <span class=\"defined\">\uadf9\ud55c<\/span>(limit)\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. \uc774 \uc0ac\uc2e4\uc744 \uae30\ud638\ub85c<br \/>\n\\[\\lim_{x\\rightarrow c}f(x) = L\\]<br \/>\n\ub610\ub294<br \/>\n\\[f(x) \\rightarrow L \\quad \\text{as} \\quad x\\rightarrow c\\]<br \/>\n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.2.<\/span><br \/>\n\ud568\uc218 \\(f:\\mathbb{R}\\rightarrow\\mathbb{R}\\)\uac00 \\(f(x) = 2x-1\\)\ub85c \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \\(3\\)\uc740 \\(f\\)\uc758 \uc815\uc758\uc5ed\uc758 \uc9d1\uc801\uc810\uc774\ub2e4. \\(x\\)\uac00 \\(x\\ne 3\\)\uc774\uba74\uc11c \\(3\\)\uc5d0 \uac00\uae4c\uc774 \ub2e4\uac00\uac04\ub2e4\uace0 \ud558\uc790. \ub354 \uba85\ud655\ud558\uac8c \ub9d0\ud558\uc790\uba74, \\(x\\)\uc640 \\(3\\) \uc0ac\uc774\uc758 \uac70\ub9ac \\(\\lvert x-3 \\rvert\\)\uc774 \\(d\\)\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 \\(f(x)\\)\uc640 \\(5\\) \uc0ac\uc774\uc758 \uac70\ub9ac\ub294<br \/>\n\\[\\lvert f(x) &#8211; 5 \\rvert = \\lvert (2x-1)-5 \\rvert = 2 \\lvert x-3 \\rvert\\]<br \/>\n\uc774\uba70, \uc774 \uac12\uc740 \\(2d\\)\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \\(x\\)\uac00 \\(3\\)\uc5d0 \ub2e4\uac00\uac00\uba74 \\(f(x)\\)\uc758 \uac12\uc740 \\(5\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4. \uc989<br \/>\n\\[\\lim_{x\\rightarrow 3} f(x)=5\\]<br \/>\n\uc774\ub2e4.\n<\/p>\n<\/div>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.3.<\/span><br \/>\n\ud568\uc218 \\(f:\\mathbb{R}\\rightarrow\\mathbb{R}\\)\uac00 \\(f(x) = x^2 -3\\)\uc73c\ub85c \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \\(1\\)\uc740 \\(f\\)\uc758 \uc815\uc758\uc5ed\uc774 \uc9d1\uc801\uc810\uc774\ub2e4. \\(x\\)\uac00 \\(1\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(x^2 &#8211; 3\\)\uc774 \\(-2\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4. \uc989<br \/>\n\\[\\lim_{x\\rightarrow 1}\\left( x^2 -3 \\right) =-2\\]<br \/>\n\uc774\ub2e4.\n<\/p>\n<\/div>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.4.<\/span><br \/>\n\ud568\uc218 \\(f\\)\uac00 \\(D = (-\\infty ,\\,3) \\cup (3,\\,\\infty )\\)\uc5d0\uc11c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ub418\uc5c8\ub2e4\uace0 \ud558\uc790.<br \/>\n\\[f(x) = \\frac{x^2 -x-6}{x-3}.\\]<br \/>\n\\(3\\)\uc774 \\(D\\)\uc774 \uc9d1\uc801\uc810\uc774\ubbc0\ub85c \\(3\\)\uc5d0\uc11c \\(f\\)\uc758 \uadf9\ud55c\uc744 \uc0dd\uac01\ud560 \uc218 \uc788\ub2e4. [\u2018\uadf9\ud55c\uc744 \uc0dd\uac01\ud560 \uc218 \uc788\ub2e4\u2019\ub294 \ub9d0\uc774 \u2018\uadf9\ud55c\uc774 \uc874\uc7ac\ud55c\ub2e4\u2019\ub294 \ub73b\uc774 \uc544\ub2c8\ub2e4.] \ub9cc\uc57d \\(x\\ne 3\\)\uc774\uba74<br \/>\n\\[f(x) = \\frac{x^2 -x-6}{x-3} = \\frac{(x-3)(x+2)}{x-3} = x+2\\]<br \/>\n\uc774\ub2e4.<\/p>\n<div style=\"margin-top: 1.6em; margin-bottom: 1.6em;\">\n<img decoding=\"async\" src=\"\/blog\/wp-content\/uploads\/2021\/08\/ic_ch03_se01_img2.png\" alt=\"\" width=\"198\" height=\"188\" class=\"aligncenter size-full wp-image-7206\" \/>\n<\/div>\n<p>\uadf8\ub7ec\ubbc0\ub85c \\(x\\)\uac00 \\(3\\)\uc5d0 \ub2e4\uac00\uac00\uba74 \\(f(x)\\)\uc758 \uac12\uc740 \\(5\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4. \uc989<br \/>\n\\[\\lim_{x\\rightarrow 3}\\frac{x^2 -x-6}{x-3} = 5\\]<br \/>\n\uc774\ub2e4.\n<\/p>\n<\/div>\n<p>\ub9cc\uc57d \\(f(x)\\)\uac00 \\(c\\)\uc5d0\uc11c \uc218\ub834\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74, \uc989 \ub9cc\uc57d \\(x\\)\uac00 \\(x\\ne c\\)\ub97c \uc720\uc9c0\ud55c \ucc44\ub85c \\(c\\)\uc5d0 \ub2e4\uac00\uac00\uc9c0\ub9cc \\(f(x)\\)\uc758 \uac12\uc740 \ud558\ub098\uc758 \uac12\uc5d0 \ub2e4\uac00\uac00\uc9c0 \uc54a\ub294\ub2e4\uba74,<\/p>\n<p class=\"aligncenter\">\u201c\\(x\\)\uac00 \\(c\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uac00 <span class=\"defined\">\ubc1c\uc0b0<\/span>(diverge)\ud55c\ub2e4.\u201d<\/p>\n<p>\ub610\ub294<\/p>\n<p class=\"aligncenter\">\u201c\\(c\\)\uc5d0\uc11c \\(f(x)\\)\uac00 \ubc1c\uc0b0\ud55c\ub2e4.\u201d<\/p>\n<p>\ub77c\uace0 \ub9d0\ud55c\ub2e4.<\/p>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.5.<\/span><br \/>\n\ud568\uc218 \\(f:\\mathbb{R} \\rightarrow \\mathbb{R}\\)\uac00 \\(f(x) = \\lfloor x \\rfloor\\)\ub85c \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \uc5ec\uae30\uc11c \\(\\lfloor x \\rfloor\\)\ub294 \ucd5c\ub300\uc815\uc218\ud568\uc218\uc774\ub2e4. \\(x\\)\uac00 \\(2\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4\uace0 \ud558\uc790.<\/p>\n<p>\ub9cc\uc57d \\(x < 2\\)\uc774\uba74\uc11c \\(x\\)\uac00 \\(2\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4\uba74 \\(f(x)\\)\ub294 \\(1\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4. \ub9cc\uc57d \\(x > 2\\)\uc774\uba74\uc11c \\(x\\)\uac00 \\(2\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4\uba74 \\(f(x)\\)\ub294 \\(2\\)\uc5d0 \ub2e4\uac00\uac04\ub2e4. \uc989 \\(2\\)\uc5d0\uc11c \\(f\\)\ub294 \ud558\ub098\uc758 \uac12\uc5d0 \uc218\ub834\ud558\uc9c0 \uc54a\ub294\ub2e4. \ub530\ub77c\uc11c \\(f\\)\ub294 \\(2\\)\uc5d0\uc11c \ubc1c\uc0b0\ud55c\ub2e4.\n<\/p>\n<\/div>\n<p>\ub9cc\uc57d \\(x\\)\uac00 \\(x\\ne c\\)\ub97c \uc720\uc9c0\ud55c \ucc44 \\(c\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uc758 \uac12\uc774 \ud55c\uc5c6\uc774 \ucee4\uc9c0\uba74 \u201c\\(x\\rightarrow c\\)\uc77c \ub54c \\(f(x)\\)\uac00 <span class=\"defined\">\uc591\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0<\/span>\ud55c\ub2e4.\u201d\ub77c\uace0 \ub9d0\ud55c\ub2e4. \uc774\uac83\uc744 \uae30\ud638\ub85c<br \/>\n\\[\\lim_{x\\rightarrow c}f(x)=\\infty\\]<br \/>\n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n<p>\ub9cc\uc57d \\(x\\)\uac00 \\(x\\ne c\\)\ub97c \uc720\uc9c0\ud55c \ucc44 \\(c\\)\uc5d0 \ub2e4\uac00\uac08 \ub54c \\(f(x)\\)\uc758 \uac12\uc774 \ud55c\uc5c6\uc774 \uc791\uc544\uc9c0\uba74 \u201c\\(x\\rightarrow c\\)\uc77c \ub54c \\(f(x)\\)\uac00 <span class=\"defined\">\uc74c\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0<\/span>\ud55c\ub2e4.\u201d\ub77c\uace0 \ub9d0\ud55c\ub2e4. \uc774\uac83\uc744 \uae30\ud638\ub85c<br \/>\n\\[\\lim_{x\\rightarrow c}f(x)=-\\infty\\]<br \/>\n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n<p>\ub9cc\uc57d \\(x\\rightarrow c\\)\uc77c \ub54c \\(f(x)\\)\uac00 \ubc1c\uc0b0\ud558\uc9c0\ub9cc \uc591\uc758 \ubb34\ud55c\ub300\ub098 \uc74c\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74 \u201c\\(x\\rightarrow c\\)\uc77c \ub54c \\(f(x)\\)\uac00 <span class=\"defined\">\uc9c4\ub3d9\ud55c\ub2e4<\/span>(oscillate)\u201d\ub77c\uace0 \ub9d0\ud55c\ub2e4.<\/p>\n<div class=\"example\">\n<p><span class=\"example\">\ubcf4\uae30 3.1.6.<\/span><\/p>\n<ol class=\"parenthesis\">\n<li>\ub9cc\uc57d \\(f(x) = \\frac{1}{x^2}\\)\uc774\uba74 \\[\\lim_{x\\rightarrow 0}f(x) = \\infty\\]\uc774\ub2e4.<\/li>\n<li>\ub9cc\uc57d \\(f(x) = \\ln \\lvert x \\rvert\\)\uc774\uba74 \\[\\lim_{x\\rightarrow 0} f(x) = -\\infty\\]\uc774\ub2e4.<\/li>\n<li>\ub9cc\uc57d \\(f(x) = \\frac{1}{x}\\)\uc774\uba74 \\(x\\rightarrow 0\\)\uc77c \ub54c \\(f(x)\\)\ub294 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n<li>\ub9cc\uc57d \\(f(x) = \\lfloor x \\rfloor\\)\uc774\uace0 \\(n\\)\uc774 \uc815\uc218\uc774\uba74, \\(x\\rightarrow n\\)\uc77c \ub54c \\(f(x)\\)\ub294 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n<li>\ub9cc\uc57d \\(f(x) = \\sin \\frac{1}{x}\\)\uc774\uba74 \\(x \\rightarrow 0\\)\uc77c \ub54c \\(f(x)\\)\ub294 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n<li>\ub9cc\uc57d \\(f(x) = \\lvert \\tan x \\rvert\\)\uc774\uba74<br \/>\n\\[\\lim_{x\\rightarrow\\frac{\\pi}{2}} f(x) =\\infty\\]<br \/>\n\uc774\ub2e4.<\/li>\n<\/ol>\n<\/div>\n<p><!-- ##################################################################### --><br \/>\n<!--\n\n\n<h2 class=\"itc_h2\">\uc81c\ubaa9<\/h2>\n\n\n\n\n\n<p>.<\/p>\n\n\n\n\n\n<p>.<\/p>\n\n\n--><\/p>\n<p><!--\n\n\n\n<div class=\"theorem margintop2\">\n\n\n<p><span class=\"theorem\">\uc815\ub9ac 1.<\/span>\n\n\n<\/p>\n\n<\/div>\n\n\n\n\n\n<div class=\"proof\">\n\n\n<p class=\"proofname\">\uc99d\uba85.<\/p>\n\n\n\n\n<p>\n\n<span class=\"qed\"><\/span><\/p>\n\n<\/div>\n\n\n\n\n########\n\n\u201c\u201d\n\u2018\u2019\n\n\n\n<div class=\"example\">\n\n\n<p><span class=\"example\">\ubcf4\uae30 1.<\/span>\n\n<\/p>\n\n<\/div>\n\n\n\n\n\n<h2 class=\"itc_h2\"><\/h2>\n\n\n\n--><\/p>\n<p><!--\n\n\n<div style=\"display: none; visibility: hidden;\">\n\\[\n\\newcommand{\\Hom}{{\\operatorname{Hom}}}\n\\newcommand{\\Mat}{{\\operatorname{Mat}}}\n\\newcommand{\\proj}{{\\operatorname{proj}}}\n\\newcommand{\\adj}{{\\operatorname{adj}}}\n\\]\n<\/div>\n\n\n--><\/p>\n<div class=\"box itc_prev_next_box\">\n<ul class=\"itc_ul\">\n<li class=\"itc_li_prev\">\uc55e\uc758 \uae00 : <a href=\"..\/alternating-series\">\uad50\ub300\uae09\uc218<\/a><\/li>\n<li class=\"itc_li_next\">\ub2e4\uc74c \uae00 : <a href=\"..\/properties-of-limit-of-a-function\">\ud568\uc218\uc758 \uadf9\ud55c\uc758 \uc131\uc9c8<\/a><\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae00\uc740 \u300e\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c\u300f 3\uc7a5 1\uc808\uc758 \ub0b4\uc6a9\uc785\ub2c8\ub2e4.&nbsp; (\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c \ucc28\ub840 \ubcf4\uae30) \ud568\uc218 \\(f:D \\rightarrow \\mathbb{R}\\)\uac00 \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \uc810 \\(c\\)\uc5d0\uc11c \\(f\\)\uc758 \uadf9\ud55c\uc744 \uc815\uc758\ud558\ub824\uba74 \ubcc0\uc218 \\(x\\)\uac00 \\(c\\)\uc5d0 \ud55c\uc5c6\uc774 \uac00\uae4c\uc774 \ub2e4\uac00\uac08 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\uc758 \uadf9\ud55c\uc744 \uc815\uc758\ud558\uae30 \uc804\uc5d0 \uc9d1\uc801\uc810\uc758 \uac1c\ub150\uc744 \ub3c4\uc785\ud558\uc790. \\(D\\)\uac00 \uacf5\uc9d1\ud569\uc774 \uc544\ub2cc \uc9d1\ud569\uc774\uace0 \\(c\\)\uac00 \uc218\ub77c\uace0 \ud558\uc790. \uc5ec\uae30\uc11c \\(c\\)\uac00 \\(D\\)\uc758 \uc6d0\uc18c\uc77c \ud544\uc694\ub294 \uc5c6\ub2e4. \ub9cc\uc57d \uc138 \uc870\uac74 \\(n\\rightarrow\\infty\\)\uc77c \ub54c \\(c_n \\rightarrow c,\\) \uc784\uc758\uc758 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \\(c_n&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":6620,"menu_order":301,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"class_list":["post-6691","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6691","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/comments?post=6691"}],"version-history":[{"count":21,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6691\/revisions"}],"predecessor-version":[{"id":8384,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6691\/revisions\/8384"}],"up":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/pages\/6620"}],"wp:attachment":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/media?parent=6691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}