{"id":6669,"date":"2021-07-20T23:48:12","date_gmt":"2021-07-20T14:48:12","guid":{"rendered":"https:\/\/sasamath.com\/blog\/?page_id=6669"},"modified":"2026-09-27T17:07:36","modified_gmt":"2026-09-27T08:07:36","slug":"limit-of-a-sequence","status":"publish","type":"page","link":"https:\/\/sasamath.com\/blog\/invitation-to-calculus\/limit-of-a-sequence\/","title":{"rendered":"\uc218\uc5f4\uc758 \uadf9\ud55c\uc758 \uc815\uc758"},"content":{"rendered":"
\n

\uc774 \uae00\uc740 \u300e\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c\u300f 1\uc7a5 2\uc808\uc758 \ub0b4\uc6a9\uc785\ub2c8\ub2e4.  (\ubbf8\uc801\ubd84\ud559 \uccab\uac78\uc74c \ucc28\ub840 \ubcf4\uae30<\/a>)<\/span><\/p>\n<\/div>\n

<\/p>\n

\uc218\ub834\ud558\ub294 \uc218\uc5f4<\/h2>\n

\\(\\left\\{a_n\\right\\}\\)\uc774 \uc2e4\uc218\uc5f4\uc774\uace0 \\(L\\)\uc774 \uc2e4\uc218\ub77c\uace0 \ud558\uc790. \uc9c1\uad00\uc801\uc73c\ub85c \\(n\\)\uc774 \ud55c\uc5c6\uc774 \ucee4\uc9c8 \ub54c \ud56d \\(a_n\\)\uc774 \\(L\\)\uc5d0 \ud55c\uc5c6\uc774 \uac00\uae4c\uc6cc\uc9c0\uba74 \u201c\\(\\left\\{a_n\\right\\}\\)\uc774 \\(L\\)\uc5d0 \uc218\ub834<\/span>(converge)\ud55c\ub2e4\u201d\ub77c\uace0 \ub9d0\ud55c\ub2e4. \uc774\ub54c \\(L\\)\uc744 \uc218\uc5f4 \\(\\left\\{a_n\\right\\}\\)\uc758 \uadf9\ud55c<\/span>(limit) \ub610\ub294 \uadf9\ud55c\uac12<\/span>\uc774\ub77c\uace0 \ubd80\ub974\uace0
\n\\[
\n\\lim_{n\\rightarrow\\infty}a_n=L
\n\\]
\n\ub610\ub294
\n\\[
\na_n\\rightarrow L
\n\\quad\\text{as}\\quad
\nn\\rightarrow\\infty
\n\\]
\n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n

\n

\ubcf4\uae30 1.2.1.<\/span><\/p>\n

    \n
  1. \ub9cc\uc57d
    \n\\[
    \na_n=\\frac{1}{n}
    \n\\]
    \n\uc774\uba74 \\(\\left\\{a_n\\right\\}\\)\uc740 \\(0\\)\uc5d0 \uc218\ub834\ud55c\ub2e4. \uc989
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}\\frac{1}{n}=0
    \n\\]
    \n\uc774\ub2e4.<\/li>\n
  2. \ub9cc\uc57d
    \n\\[
    \nb_n=\\frac{n+1}{n}
    \n\\]
    \n\uc774\uba74 \\(\\left\\{b_n\\right\\}\\)\uc740 \\(1\\)\uc5d0 \uc218\ub834\ud55c\ub2e4. \uc989
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}\\frac{n+1}{n}=1
    \n\\]
    \n\uc774\ub2e4.<\/li>\n
  3. \ub9cc\uc57d
    \n\\[
    \nc_n=\\frac{(-1)^n}{n}
    \n\\]
    \n\uc774\uba74 \\(\\left\\{c_n\\right\\}\\)\uc740 \\(0\\)\uc5d0 \uc218\ub834\ud55c\ub2e4. \uc989
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}\\frac{(-1)^n}{n}=0
    \n\\]
    \n\uc774\ub2e4.<\/li>\n
  4. \ub9cc\uc57d \\(s_n=4\\)\uc774\uba74 \\(\\left\\{s_n\\right\\}\\)\uc740 \\(4\\)\uc5d0 \uc218\ub834\ud55c\ub2e4. \uc989
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}4=4
    \n\\]
    \n\uc774\ub2e4.<\/li>\n<\/ol>\n<\/div>\n

    <\/p>\n

    \ubc1c\uc0b0\ud558\ub294 \uc218\uc5f4<\/h2>\n

    \uc2e4\uc218\uc5f4 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc5b4\ub5a0\ud55c \uc2e4\uc218\uc5d0\ub3c4 \uc218\ub834\ud558\uc9c0 \uc54a\uc73c\uba74 \\(\\left\\{a_n\\right\\}\\)\uc774 \ubc1c\uc0b0<\/span>(diverge)\ud55c\ub2e4\uace0 \ub9d0\ud55c\ub2e4.<\/p>\n

    \uc9c1\uad00\uc801\uc73c\ub85c \\(n\\)\uc774 \ud55c\uc5c6\uc774 \ucee4\uc9c8 \ub54c \\(a_n\\)\ub3c4 \ud55c\uc5c6\uc774 \ucee4\uc9c0\uba74 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc591\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0<\/span>\ud55c\ub2e4\uace0 \ub9d0\ud558\uace0
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}a_n=\\infty
    \n\\]
    \n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4. \ubc18\ub300\ub85c \\(n\\)\uc774 \ud55c\uc5c6\uc774 \ucee4\uc9c8 \ub54c \\(a_n\\)\uc774 \uc74c\uc758 \ubc29\ud5a5\uc73c\ub85c \ud55c\uc5c6\uc774 \uc791\uc544\uc9c0\uba74 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc74c\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0<\/span>\ud55c\ub2e4\uace0 \ub9d0\ud558\uace0
    \n\\[
    \n\\lim_{n\\rightarrow\\infty}a_n=-\\infty
    \n\\]
    \n\uc640 \uac19\uc774 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n

    \uc5ec\uae30\uc11c \\(\\infty\\)\uc640 \\(-\\infty\\)\ub294 \uc2e4\uc218\uac00 \uc544\ub2c8\ubbc0\ub85c \uc704 \ub450 \uc2dd\uc5d0\uc11c \\(\\infty\\)\uc640 \\(-\\infty\\)\ub294 \uadf9\ud55c\uac12\uc744 \ub098\ud0c0\ub0b4\ub294 \uac83\uc774 \uc544\ub2c8\ub2e4. \uc774 \uc2dd\ub4e4\uc740 \uac01\uac01 \uc218\uc5f4\uc758 \ud2b9\uc815\ud55c \ubc1c\uc0b0 \uc591\uc0c1\uc744 \ub098\ud0c0\ub0b4\uae30 \uc704\ud55c \uae30\ud638\uc774\ub2e4.<\/p>\n

    \uc774 \ucc45\uc5d0\uc11c\ub294 \uc218\uc5f4 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc218\ub834\ud558\uc9c0 \uc54a\uace0, \uc591\uc758 \ubb34\ud55c\ub300\uc5d0\ub3c4 \ubc1c\uc0b0\ud558\uc9c0 \uc54a\uc73c\uba70, \uc74c\uc758 \ubb34\ud55c\ub300\uc5d0\ub3c4 \ubc1c\uc0b0\ud558\uc9c0 \uc54a\uc73c\uba74 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc9c4\ub3d9<\/span>(oscillate)\ud55c\ub2e4\uace0 \ub9d0\ud558\uae30\ub85c \ud55c\ub2e4.<\/p>\n

    \n

    \ubcf4\uae30 1.2.2.<\/span><\/p>\n

      \n
    1. \ub9cc\uc57d \\(a_n=n^2\\)\uc774\uba74 \\(\\left\\{a_n\\right\\}\\)\uc740 \uc591\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0\ud55c\ub2e4. \uc989
      \n\\[
      \n\\lim_{n\\rightarrow\\infty}n^2=\\infty
      \n\\]
      \n\uc774\ub2e4.<\/li>\n
    2. \ub9cc\uc57d \\(b_n=-2^n\\)\uc774\uba74 \\(\\left\\{b_n\\right\\}\\)\uc740 \uc74c\uc758 \ubb34\ud55c\ub300\uc5d0 \ubc1c\uc0b0\ud55c\ub2e4. \uc989
      \n\\[
      \n\\lim_{n\\rightarrow\\infty}(-2^n)=-\\infty
      \n\\]
      \n\uc774\ub2e4.<\/li>\n
    3. \ub9cc\uc57d \\(c_n=(-1)^n\\)\uc774\uba74 \ud56d\uc774 \\(1\\)\uacfc \\(-1\\)\uc744 \ubc88\uac08\uc544 \uac00\uc9c0\ubbc0\ub85c \\(\\left\\{c_n\\right\\}\\)\uc740 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n
    4. \ub9cc\uc57d
      \n\\[
      \nx_n=n+n(-1)^n
      \n\\]
      \n\uc774\uba74 \ud640\uc218 \ubc88\uc9f8 \ud56d\uc740 \\(0\\)\uc774\uace0 \uc9dd\uc218 \ubc88\uc9f8 \ud56d\uc740 \\(2n\\)\uc774\ubbc0\ub85c \\(\\left\\{x_n\\right\\}\\)\uc740 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n
    5. \ub9cc\uc57d \\(y_n=(-2)^n\\)\uc774\uba74 \ud56d\uc758 \ubd80\ud638\uac00 \ubc88\uac08\uc544 \ubc14\ub00c\uba74\uc11c \uc808\ub313\uac12\uc740 \ucee4\uc9c0\ubbc0\ub85c \\(\\left\\{y_n\\right\\}\\)\uc740 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n
    6. \ub9cc\uc57d \\(z_n=(-n)^n\\)\uc774\uba74 \ud56d\uc758 \ubd80\ud638\uac00 \ubc88\uac08\uc544 \ubc14\ub00c\uba74\uc11c \uc808\ub313\uac12\uc740 \ucee4\uc9c0\ubbc0\ub85c \\(\\left\\{z_n\\right\\}\\)\uc740 \uc9c4\ub3d9\ud55c\ub2e4.<\/li>\n<\/ol>\n<\/div>\n

      <\/p>\n

      \uc218\uc5f4\uc758 \uadf9\ud55c\uc758 \uc5c4\ubc00\ud55c \uc815\uc758<\/h2>\n

      \uc55e\uc5d0\uc11c \uc218\uc5f4\uc758 \uc218\ub834\uacfc \ubc1c\uc0b0\uc744 \uc9c1\uad00\uc801\uc73c\ub85c \uc124\uba85\ud558\uc600\ub2e4. \uc774\uc81c \uc774 \uac1c\ub150\uc744 \uc5c4\ubc00\ud558\uac8c \uc815\uc758\ud558\uc790.<\/p>\n

      \n

      \\(\\left\\{a_n\\right\\}\\)\uc774 \\(Z_{n_0}\\)\ub97c \uc815\uc758\uc5ed\uc73c\ub85c \ud558\ub294 \uc2e4\uc218\uc5f4\uc774\uace0 \\(L\\)\uc774 \uc2e4\uc218\ub77c\uace0 \ud558\uc790. \uc784\uc758\uc758 \uc591\uc218 \\(\\epsilon\\)\uc5d0 \ub300\ud558\uc5ec \\(N\\in Z_{n_0}\\)\uc774 \uc874\uc7ac\ud558\uc5ec
      \n\\[
      \nn\\ge N
      \n\\]
      \n\uc778 \ubaa8\ub4e0 \\(n\\in Z_{n_0}\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \n|a_n-L| < \\epsilon\n\\]\n\uc774 \uc131\ub9bd\ud558\uba74 \\(\\left\\{a_n\\right\\}\\)\uc774 \\(L\\)\uc5d0 \uc218\ub834<\/span>\ud55c\ub2e4\uace0 \ub9d0\ud558\uace0, \\(L\\)\uc744 \\(\\left\\{a_n\\right\\}\\)\uc758 \uadf9\ud55c<\/span>\uc774\ub77c\uace0 \ubd80\ub978\ub2e4.<\/p>\n<\/div>\n

      \uc704 \uc815\uc758\ub97c \uae30\ud638\ub85c \ub098\ud0c0\ub0b4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.
      \n\\[
      \n\\forall\\epsilon>0\\ \\
      \n\\exists N\\in Z_{n_0}\\ \\
      \n\\forall n\\in Z_{n_0}:\\quad
      \n\\left[
      \nn\\ge N
      \n\\quad\\Longrightarrow\\quad
      \n|a_n-L| < \\epsilon\n\\right].\n\\]\n<\/p>\n

      \uc989 \uc544\ubb34\ub9ac \uc791\uc740 \uc591\uc218 \\(\\epsilon\\)\uc744 \uc8fc\ub354\ub77c\ub3c4 \ucda9\ubd84\ud788 \ud070 \ucca8\uc790\ubd80\ud130\ub294 \ubaa8\ub4e0 \ud56d \\(a_n\\)\uc774 \uc5f4\ub9b0\uad6c\uac04
      \n\\[
      \n(L-\\epsilon,\\,L+\\epsilon)
      \n\\]
      \n\uc548\uc5d0 \ub4e4\uc5b4\uac00\uba70, \uadf8 \ub4a4\ub85c \ub2e4\uc2dc \uc774 \uad6c\uac04 \ubc16\uc73c\ub85c \ub098\uac00\uc9c0 \uc54a\ub294\ub2e4\ub294 \ub73b\uc774\ub2e4.<\/p>\n

      \uc591\uc758 \ubb34\ud55c\ub300\uc640 \uc74c\uc758 \ubb34\ud55c\ub300\ub85c\uc758 \ubc1c\uc0b0\ub3c4 \ube44\uc2b7\ud55c \ubc29\ubc95\uc73c\ub85c \uc5c4\ubc00\ud558\uac8c \uc815\uc758\ud560 \uc218 \uc788\ub2e4.<\/p>\n

      \n

      \\(\\left\\{a_n\\right\\}\\)\uc774 \\(Z_{n_0}\\)\ub97c \uc815\uc758\uc5ed\uc73c\ub85c \ud558\ub294 \uc2e4\uc218\uc5f4\uc774\ub77c\uace0 \ud558\uc790.<\/p>\n

      \uc784\uc758\uc758 \uc2e4\uc218 \\(M\\)\uc5d0 \ub300\ud558\uc5ec \\(N\\in Z_{n_0}\\)\uc774 \uc874\uc7ac\ud558\uc5ec \\(n\\ge N\\)\uc778 \ubaa8\ub4e0 \\(n\\in Z_{n_0}\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \na_n>M
      \n\\]
      \n\uc774 \uc131\ub9bd\ud558\uba74
      \n\\[
      \n\\lim_{n\\rightarrow\\infty}a_n=\\infty
      \n\\]
      \n\ub77c\uace0 \ud55c\ub2e4.<\/p>\n

      \uc784\uc758\uc758 \uc2e4\uc218 \\(M\\)\uc5d0 \ub300\ud558\uc5ec \\(N\\in Z_{n_0}\\)\uc774 \uc874\uc7ac\ud558\uc5ec \\(n\\ge N\\)\uc778 \ubaa8\ub4e0 \\(n\\in Z_{n_0}\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \na_n < M\n\\]\n\uc774 \uc131\ub9bd\ud558\uba74\n\\[\n\\lim_{n\\rightarrow\\infty}a_n=-\\infty\n\\]\n\ub77c\uace0 \ud55c\ub2e4.<\/p>\n<\/div>\n

      \n

      \ubcf4\uc870\uc815\ub9ac. (\uc544\ub974\ud0a4\uba54\ub370\uc2a4 \uc131\uc9c8)<\/span><\/p>\n

      \uc784\uc758\uc758 \uc2e4\uc218 \\(x\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \nN>x
      \n\\]
      \n\ub97c \ub9cc\uc871\uc2dc\ud0a4\ub294 \uc790\uc5f0\uc218 \\(N\\)\uc774 \uc874\uc7ac\ud55c\ub2e4.<\/p>\n<\/div>\n

      \n

      \uc99d\uba85.<\/p>\n

      \uadf8\ub807\uc9c0 \uc54a\ub2e4\uace0 \uac00\uc815\ud558\uba74 \uc790\uc5f0\uc218 \uc804\uccb4\uc758 \uc9d1\ud569 \\(\\mathbb{N}\\)\uc740 \uc704\ub85c \uc720\uacc4\uc774\ub2e4. \uc2e4\uc218\uacc4\uc758 \ucd5c\uc18c\uc0c1\uacc4 \uc131\uc9c8\uc5d0 \uc758\ud558\uc5ec
      \n\\[
      \ns=\\sup\\mathbb{N}
      \n\\]
      \n\uc774 \uc874\uc7ac\ud55c\ub2e4. \\(s-1\\)\uc740 \\(\\mathbb{N}\\)\uc758 \uc0c1\uacc4\uac00 \uc544\ub2c8\ubbc0\ub85c \uc5b4\ub5a4 \\(n\\in\\mathbb{N}\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \ns-1 < n\n\\]\n\uc774\ub2e4. \ub530\ub77c\uc11c\n\\[\ns < n+1.\n\\]\n\uadf8\ub7ec\ub098 \\(n+1\\in\\mathbb{N}\\)\uc774\ubbc0\ub85c \uc774\ub294 \\(s\\)\uac00 \\(\\mathbb{N}\\)\uc758 \uc0c1\uacc4\ub77c\ub294 \uc0ac\uc2e4\uc5d0 \ubaa8\uc21c\uc774\ub2e4. \ub530\ub77c\uc11c \\(\\mathbb{N}\\)\uc740 \uc704\ub85c \uc720\uacc4\uac00 \uc544\ub2c8\uba70, \uc784\uc758\uc758 \uc2e4\uc218 \\(x\\)\ubcf4\ub2e4 \ud070 \uc790\uc5f0\uc218 \\(N\\)\uc774 \uc874\uc7ac\ud55c\ub2e4. <\/span><\/p>\n<\/div>\n

      \uc5c4\ubc00\ud55c \uc815\uc758\ub97c \uc774\uc6a9\ud558\uc5ec \uc55e\uc758 \ubcf4\uae30 \uac00\uc6b4\ub370 \ud558\ub098\ub97c \uc9c1\uc811 \uc99d\uba85\ud574 \ubcf4\uc790.<\/p>\n

      \n

      \uc608\uc81c 1.2.3.<\/span>
      \n\\(b_n=\\displaystyle\\frac{n+1}{n}\\)\uc774\ub77c\uace0 \ud558\uc790. \uc774\ub54c
      \n\\[
      \n\\lim_{n\\rightarrow\\infty}b_n=1
      \n\\]
      \n\uc784\uc744 \uc99d\uba85\ud558\uc2dc\uc624.<\/p>\n

      \ud480\uc774.<\/span>
      \n\uc591\uc218 \\(\\epsilon\\)\uc774 \uc784\uc758\ub85c \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790. \uc544\ub974\ud0a4\uba54\ub370\uc2a4 \uc131\uc9c8\uc5d0 \uc758\ud558\uc5ec
      \n\\[
      \nN>\\frac{1}{\\epsilon}
      \n\\]
      \n\uc778 \uc790\uc5f0\uc218 \\(N\\)\uc774 \uc874\uc7ac\ud55c\ub2e4. \ud544\uc694\ud558\ub2e4\uba74 \\(N\\)\uc744 \ub354 \ud06c\uac8c \uc7a1\uc544 \uc218\uc5f4\uc758 \uc815\uc758\uc5ed\uc5d0 \uc18d\ud558\ub3c4\ub85d \ud560 \uc218 \uc788\ub2e4.<\/p>\n

      \uc774\uc81c \\(n\\ge N\\)\uc778 \ubaa8\ub4e0 \ucca8\uc790 \\(n\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \n\\begin{aligned}
      \n|b_n-1|
      \n&=
      \n\\left|
      \n\\frac{n+1}{n}-1
      \n\\right|\\\\
      \n&=
      \n\\frac{1}{n}\\\\
      \n&\\le
      \n\\frac{1}{N}\\\\
      \n&< \\epsilon.\n\\end{aligned}\n\\]\n\ub530\ub77c\uc11c \\(\\epsilon\\)-\\(N\\) \uc815\uc758\uc5d0 \uc758\ud558\uc5ec\n\\[\n\\lim_{n\\rightarrow\\infty}b_n=1\n\\]\n\uc774\ub2e4.<\/p>\n<\/div>\n

      \n

      \uc815\ub9ac 1.2.4. (\uadf9\ud55c\uc758 \uc720\uc77c\uc131)<\/span><\/p>\n

      \uc2e4\uc218\uc5f4 \\(\\left\\{a_n\\right\\}\\)\uc774 \uc218\ub834\ud558\uba74 \uadf8 \uadf9\ud55c\uc740 \uc720\uc77c\ud558\ub2e4.<\/p>\n<\/div>\n

      \n

      \uc99d\uba85.<\/p>\n

      \\(\\left\\{a_n\\right\\}\\)\uc774 \uc11c\ub85c \ub2e4\ub978 \ub450 \uc2e4\uc218 \\(L\\)\uacfc \\(M\\)\uc5d0 \ubaa8\ub450 \uc218\ub834\ud55c\ub2e4\uace0 \uac00\uc815\ud558\uc790. \uadf8\ub7ec\uba74
      \n\\[
      \n|L-M|>0.
      \n\\]
      \n\ub2e4\uc74c\uacfc \uac19\uc774 \ub193\uc790.
      \n\\[
      \n\\epsilon=\\frac{|L-M|}{3}.
      \n\\]\n<\/p>\n

      \\(a_n\\rightarrow L\\)\uc774\ubbc0\ub85c \ucda9\ubd84\ud788 \ud070 \ubaa8\ub4e0 \\(n\\)\uc5d0 \ub300\ud558\uc5ec
      \n\\[
      \n|a_n-L| < \\epsilon\n\\]\n\uc774\uace0, \\(a_n\\rightarrow M\\)\uc774\ubbc0\ub85c \ucda9\ubd84\ud788 \ud070 \ubaa8\ub4e0 \\(n\\)\uc5d0 \ub300\ud558\uc5ec\n\\[\n|a_n-M| < \\epsilon\n\\]\n\uc774\ub2e4. \ub530\ub77c\uc11c \ub450 \ubd80\ub4f1\uc2dd\uc774 \ub3d9\uc2dc\uc5d0 \uc131\ub9bd\ud560 \ub9cc\ud07c \ud070 \\(n\\)\uc744 \ud0dd\ud558\uba74 \uc0bc\uac01\ubd80\ub4f1\uc2dd\uc5d0 \uc758\ud558\uc5ec\n\\[\n\\begin{aligned}\n|L-M|\n&\\le\n|L-a_n|+|a_n-M|\\\\\n&< 2\\epsilon\\\\\n&=\n\\frac{2}{3}|L-M|.\n\\end{aligned}\n\\]\n\uc774\ub294 \ubaa8\uc21c\uc774\ub2e4. \ub530\ub77c\uc11c \\(L=M\\)\uc774\uace0, \uc218\uc5f4\uc758 \uadf9\ud55c\uc740 \uc720\uc77c\ud558\ub2e4. <\/span><\/p>\n<\/div>\n

      \uc55e\uc73c\ub85c \uc218\uc5f4\uc758 \uadf9\ud55c\uc5d0 \uad00\ud55c \uae30\ubcf8 \uc131\uc9c8\uc740 \uc774 \\(\\epsilon\\)-\\(N\\) \uc815\uc758\ub97c \ubc14\ud0d5\uc73c\ub85c \uc99d\uba85\ud55c\ub2e4. \uc591\uc758 \ubb34\ud55c\ub300\uc640 \uc74c\uc758 \ubb34\ud55c\ub300\ub85c\uc758 \ubc1c\uc0b0\uc744 \ub2e4\ub8f0 \ub54c\uc5d0\ub294 \uc704\uc5d0\uc11c \uc815\uc758\ud55c \\(M\\)-\\(N\\) \uc870\uac74\uc744 \uc0ac\uc6a9\ud55c\ub2e4.<\/p>\n


      \n<\/p>\n

      <\/p>\n

      \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