YouTube\ub97c \ubcf4\ub2e4\uac00 \uc5b4\ub5a4 \uc54c\uace0\ub9ac\uc998\uc5d0 \uc774\ub04c\ub824\uc11c \uc778\uc9c0 \ubb34\ud55c\uae09\uc218\ub97c \uac00\uc9c0\uace0 \uc0b4\uc9dd \uc7a5\ub09c(?) \uce58\ub294 \uc601\uc0c1\uc744 \ubcf4\uac8c \ub418\uc5c8\ub2e4. \uc624\ub79c\ub9cc\uc5d0 \ucde8\ubbf8\ub85c \uc218\ud559\ub3c4 \ud558\uace0 \uc61b \uae30\uc5b5\ub3c4 \ub3cc\uc544\ubcf4\uace0 \uc2f6\uc5b4\uc11c \uc624\ub798\ub41c \uc804\uacf5\uc11c\uc801\uc744 \uaebc\ub0b4\ub4e4\uace0 \ubcf4\uace0 \uc788\ub294 \uc911\uc774\ub2e4.<\/p>\n
\uc218\ud559\uc744 \uacf5\ubd80\ud558\uba74 \ubb50\uac00 \uc88b\uc744\uae4c? \uc0c8\ub85c\uc6b4 \uc0ac\uc2e4\uc744 \uc548\ub2e4\ub294 \uac83, \uc54e\uc5d0 \ub300\ud55c \uc990\uac70\uc6c0\uc774 \uc788\ub2e4.(!) \uac1c\uc778\uc801\uc73c\ub85c \ud574\uc11d\ud559 \uacf5\ubd80\ud558\uba74\uc11c \ud765\ubbf8\ub85c\uc6e0\ub358 \uac83 \ud558\ub098\ub97c \uc18c\uac1c\ud574 \ubcf4\ub824\uace0 \ud55c\ub2e4.<\/p>\n
\uc2e4\uc218\uc5d0\uc11c\uc758 \ubb34\ud55c\uae09\uc218\ub97c \ud558\ub098 \uc0dd\uac01\ud574 \ubcf4\uc790. \ubcf4\ud1b5 \uc544\ub798 \uc608\uc81c\ub97c \ub9ce\uc774 \ub4e0\ub2e4. \uad50\ub300 \uc870\ud654\uae09\uc218(alternating harmonic series)\ub97c \uc0b4\ud3b4\ubcf4\uc790. \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n
1-\\dfrac12+\\dfrac13-\\dfrac14+\\dfrac15-\\dfrac16+\\dfrac17-\\dfrac18+\\cdots <\/span>\n \uc774 \uae09\uc218\ub294 \uc218\ub834\ud558\uac8c \ub418\ub294\ub370 \uc870\uae08\ub9cc \ub530\uc838\ubcf4\uba74 1\ubcf4\ub2e4 \uc791\uc740 \uac12\uc73c\ub85c \uc218\ub834\ud558\ub294 \uac83\uc744 \uc54c \uc218 \uc788\ub2e4. \uadf8\ub7f0\ub370 \uc774 \uae09\uc218\ub97c \ub354\ud558\ub294 \uc21c\uc11c\ub9cc \ubcc0\uacbd\ud574\uc11c \ub2e4\uc74c\uacfc \uac19\uc774 \ub9cc\ub4e4\uc5c8\ub2e4\uace0 \ud574 \ubcf4\uc790<\/p>\n \\Bigl(1+\\dfrac13+\\dfrac15 \\Bigr)- \\Bigl( \\dfrac12 \\Bigr) + \\Bigl( \\dfrac17+\\dfrac19+\\dfrac1{11}+\\dfrac1{13}+\\dfrac1{15} \\Bigr) - \\Bigl( \\dfrac14 \\Bigr) +\\cdots <\/span>\n \ud640\uc218\ud56d\uc774 +\ub2c8\uae50 \uba3c\uc800 3\uac1c \ub354\ud558\uace0 \uc9dd\uc218\ud56d \ud558\ub098 \ube7c\uace0, \uadf8\ub2e4\uc74c \ud640\uc218\ud56d 5\uac1c \ub354\ud558\uace0 \uc9dd\uc218\ud56d \ud558\ub098 \ube7c\uace0, \ud640\uc218\ud56d 5\uac1c \uc9dd\uc218\ud56d \ud558\ub098… \uc774\ub807\uac8c \ub354\ud558\ub294 \uc21c\uc11c\ub97c \ubcc0\uacbd\ud574\uc11c \uba3c\uc800 \ub9ce\uc774 \ub354\ud558\uace0 \uc870\uae08\uc529 \ube7c\ub294 \uac83\uc774\uc9c0\ub9cc \uc21c\uc11c\ub9cc \ubcc0\uacbd\ud588\uc73c\ub2c8 \uc5ec\ud558\ud2bc \ubb34\ud55c\ud55c \ud56d\uc744 \ub354\ud558\uac8c \ub418\uba74 \uac12\uc774 \ub3d9\uc77c\ud558\uc9c0 \uc54a\uc744\uae4c?<\/p>\n \ud558\uc9c0\ub9cc \uacb0\uacfc\uac12\uc740 \ub2ec\ub77c\uc9d1\ub2c8\ub2e4.. \uadf8\uac78 \uc124\uba85\ud558\ub294 \uae00\uc785\ub2c8\ub2e4.<\/p>\n \uba87 \uac00\uc9c0 \uc6a9\uc5b4\ub97c \uc815\uc758\ud574 \ubcf4\uc790.<\/p>\n Definition 1. \uc2e4\uc218\uc9d1\ud569 \\mathbb {R} <\/span>\uc758 \uc218\uc5f4 x_n <\/span>\uc744 \uc0dd\uac01\ud558\uc790. \ub9cc\uc57d \uae09\uc218 \\sum \\lvert {x_n} \\rvert <\/span> \uc774 \uc218\ub834\ud558\uba74,\u00a0 \\sum {x_n} <\/span>\uc744 \uc808\ub300\uc218\ub834<\/strong> \uc774\ub77c \ud55c\ub2e4. \ub9cc\uc57d \uae09\uc218 \\sum {x_n} <\/span> \uc774 \uc218\ub834\ud558\uc9c0\ub9cc, \\sum \\lvert {x_n} \\rvert <\/span>\uc774 \uc218\ub834\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74, \uae09\uc218 \\sum {x_n} <\/span>\uc744 \uc870\uac74\uc218\ub834<\/strong> \uc774\ub77c \ud55c\ub2e4.<\/p><\/blockquote>\n \ucc98\uc74c\uc5d0\ub294 \uc808\ub300\uac12\uc774 \uc218\ub834\ud558\ub2c8\uae50 \uc808\ub300\uc218\ub834 \uc774\ub807\uac8c \ubc1b\uc544\ub4e4\uc600\ub294\ub370, \uc808\ub300\uc218\ub834, \uc870\uac74\uc218\ub834\uc774\ub77c\ub294 \uc774 \uc6a9\uc5b4\ub97c \ucc38 \uc798 \ub9cc\ub4e4\uc5c8\ub2e4\uace0 \uc0dd\uac01\ud55c\ub2e4. \uc808\ub300\uc218\ub834\ud558\ub294 \uc218\uc5f4\uc740 \ub354\ud558\ub294 \uc21c\uc11c\ub97c \ubcc0\uacbd\ud558\ub354\ub77c\ub3c4 \ub3d9\uc77c\ud55c \uac12\uc73c\ub85c \uc218\ub834\ud558\ub294\ub370, \uc870\uac74\uc218\ub834\ud558\ub294 \uc218\uc5f4\uc740 \uc5b4\ub5a4 \uc870\uac74\uc5d0 \ub530\ub77c \uc218\ub834\ud558\uae30\ub3c4 \ud558\uace0, \ubc1c\uc0b0\ud558\uae30\ub3c4 \ud55c\ub2e4.<\/p>\n Theorem 2. \uc2e4\uc218\uc9d1\ud569 \\mathbb {R} <\/span>\uc758 \uae09\uc218\uac00 \uc808\ub300\uc218\ub834\ud558\uba74, \uadf8 \uae09\uc218\ub294 \uc218\ub834\ud55c\ub2e4.<\/p><\/blockquote>\n \uc99d\uba85) s_n<\/span>\uc744 x_n<\/span>\uc758 \ubd80\ubd84\ud569 \uc218\uc5f4\uc774\ub77c\uace0 \ub193\uc790. \uadf8\ub9ac\uace0 \uae09\uc218 \\sum x_n <\/span>\uc774 \uc808\ub300\uc218\ub834 \ud55c\ub2e4\ub294 \uac83\uc5d0 \ub300\ud574 Cauchy \uc815\ub9ac\ub97c \uc0ac\uc6a9\ud574 \ubcf4\uc790. \uc774\uc81c \uae09\uc218\uac00 \uc218\ub834\ud568\uc744 \ubcf4\uc774\uae30 \uc704\ud574\u00a0 |s_m-s_n| <\/span>\uc744 \uacc4\uc0b0\ud574 \ubcf4\uc790. \uc774\ubbc0\ub85c \uc99d\uba85 \ub05d.<\/p>\n Grouping of Series<\/p>\n \uc5b4\ub5a4 \uae09\uc218\uc5d0 \ub300\ud574\uc11c \uc21c\uc11c\ub294 \ubcc0\uacbd\ud558\uc9c0 \uc54a\uace0 \uad04\ud638\ub9cc () \uccd0\uc11c \uc5f0\uc0b0\ud558\ub294 \uc6b0\uc120\uc21c\uc704\ub9cc \ubcc0\uacbd\ud558\ub294 \uac83\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790. \uacc4\uc18d \uc704\uc5d0\uc11c \uc608\ub97c \ub4e4\uc5c8\ub358 \uae09\uc218\ub97c<\/p>\n 1-\\dfrac12+\\Bigl( \\dfrac13-\\dfrac14 \\Bigr)+\\Bigl( \\dfrac15-\\dfrac16+\\dfrac17 \\Bigr) -\\dfrac18+ \\\\ \\Bigl( \\dfrac19 - \\cdots + \\dfrac1{13} \\Bigr) - \\cdots <\/span>\n \uc640 \uac19\uc774 \uad04\ud638\ub97c \uc720\ud55c\uac1c \uccd0\uc11c \ubcc0\uacbd\uc2dc\ud0a8 \uac83\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790. \uc774\uac83\uc744 \uae09\uc218\uc758 grouping \uc774\ub77c\uace0 \ud55c\ub2e4.<\/p>\n Theorem 3. \ub9cc\uc57d \uae09\uc218 \\sum {x_n} <\/span>\uc774 \uc218\ub834\ud558\uba74, grouping\uc744 \ud1b5\ud574 \uc5bb\uc740 \uae09\uc218\ub3c4 \uac19\uc740 \uac12\uc73c\ub85c \uc218\ub834\ud55c\ub2e4.<\/p><\/blockquote>\n \uc99d\uba85) \uc218\uc5f4\u00a0 {x_n} <\/span> \uc744 \ub2e4\uc74c\uacfc \uac19\uc774 grouping \uc744 \ud588\ub2e4\uace0 \ud558\uc790.<\/p>\n \\Bigl(x_1, x_2, \\cdots, x_{k_1} \\Bigr), \\Bigl(x_{k_1+1},\u00a0 x_{k_1+2}, \\cdots, x_{k_2} \\Bigr) \\\\ \\Bigl(x_{k_2+1}, x_{k_2+2}, \\cdots, x_{k_3} \\Bigr) <\/span>\n \uc989 \uc55e\uc5d0\uc11c\ubd80\ud130 k_1 <\/span> \ud56d\uae4c\uc9c0 grouping, \uadf8 \ub2e4\uc74c\ud56d k_1+1 <\/span> \ubd80\ud130 k_2 <\/span> \ud56d\uae4c\uc9c0 grouping \ud588\ub2e4\uace0 \ud558\uc790. grouping \uc744 \ud588\uc73c\ubbc0\ub85c \uba3c\uc800 \uac01\uac01\uc758 group\uc758 \ud569\uc744 \uad6c\ud558\uc790. \uac01\uac01\uc758 group\uc758 \ud569\uc744<\/strong> y_1, y_2, y_3 \\cdots <\/span> \uc774\ub77c \ub193\uace0 \ub2e4\uc74c\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790.<\/p>\n \uccab\ubc88\uc9f8 \uad04\ud638\uae4c\uc9c0\uc758 \ud569 : y_1 = \\sum x_{k_1} <\/span>\n \ub450\ubc88\uc9f8 \uad04\ud638\uae4c\uc9c0\uc758 \ud569 : y_1 +\u00a0 y_2 = \\sum x_{k_2} <\/span>\n \uc138\ubc88\uc9f8 \uad04\ud638\uae4c\uc9c0\uc758 \ud569 : y_1 +\u00a0 y_2 +\u00a0 y_3 = \\sum x_{k_3} <\/span>\n \uc704\uc758 \ub0b4\uc6a9\uc744 \uc2dd\uc73c\ub85c \ud45c\ud604\ud574 \ubcf4\uc790. n\ubc88\uc9f8 \uad04\ud638\uae4c\uc9c0\uc758 \ud569\uc744 t_n <\/span> \uadf8\ub9ac\uace0 \ubd80\ubd84\ud569 s_n= x_1+x_2+\\cdots+x_n <\/span> \uc73c\ub85c \ub193\uc790. \uadf8\ub7ec\uba74<\/p>\n t_1 = s_{k_1},~ t_2 = s_{k_2},~ t_3 = s_{k_3} <\/span>\n \ub97c \uc5bb\uc744 \uc218 \uc788\ub2e4. \uc989 n\ubc88\uc9f8 \uad04\ud638\uae4c\uc9c0\uc758 \ud569\uc73c\ub85c \ub9cc\ub4e4\uc5b4\uc9c4 \uc218\uc5f4 t_n <\/span> \uc740 s_n <\/span> \uc758 \ubd80\ubd84\uc218\uc5f4\uc774 \ub41c\ub2e4. \uadf8\ub7f0\ub370 \uac00\uc815\uc5d0\uc11c s_n <\/span> \uc774 \uc218\ub834\ud55c\ub2e4\uace0 \ud588\uc73c\ubbc0\ub85c \ubd80\ubd84 \uc218\uc5f4\uc778 t_n <\/span> \ub610\ud55c \uc218\ub834\ud558\uac8c \ub41c\ub2e4.<\/p>\n Rearrangements of Series<\/p>\n \uae09\uc218\uc758 \uc7ac\ubc30\uc5f4(Rearrangements)\uc774\ub780 \uc5b4\ub5a4 \uae09\uc218\uc5d0 \ub300\ud574\uc11c \ubaa8\ub4e0 \ud56d\uc744 \ud55c \ubc88\uc529 \uc0ac\uc6a9\ud558\ub418, \uc6d0\ub798 \uae09\uc218\uc640 \uc21c\uc11c\ub9cc \ubcc0\uacbd\ub418\ub3c4\ub85d \ub9cc\ub4e0 \uae09\uc218\ub97c \ub9d0\ud55c\ub2e4. \uadf8\ub798\uc11c \uc6d0\ub798 \uae09\uc218\uc640 \uc7ac\ubc30\uc5f4\ub41c \uae09\uc218 \uc0ac\uc774\uc5d0\ub294 \uc77c\ub300\uc77c\ub300\uc751 \uad00\uacc4\uac00 \uc788\ub2e4\uace0 \uc774\uc57c\uae30\ud560 \uc218 \uc788\ub2e4.<\/p>\n Theorem 4. \uc2e4\uc218\uc9d1\ud569 \\mathbb {R} <\/span>\uc5d0\uc11c \uc784\uc758\uc758 \uae09\uc218\u00a0 \\sum x_n <\/span>\uc774 \uc808\ub300\uc218\ub834\ud558\uba74, \\sum x_n <\/span>\uc758 \uc7ac\ubc30\uc5f4\uc744 \ud1b5\ud574 \uc5bb\uc740 \uc218\uc5f4 \\sum y_n <\/span>\ub3c4 \uac19\uc740 \uac12\uc73c\ub85c \uc218\ub834\ud55c\ub2e4.<\/p><\/blockquote>\n \uc99d\uba85) s_n,~ t_n <\/span>\uc744 \uac01\uac01 x_n,~ y_n <\/span>\uc758 \ubd80\ubd84\ud569 \uc218\uc5f4\uc774\ub77c\uace0 \ub193\uc790. \uc989 s_n= x_1 + x_2 + \\cdots + x_n <\/span> \uc774\uace0 t_n= y_1 + y_2 + \\cdots + y_n <\/span> \uc774\ub2e4. \\sum x_n <\/span>\uc774 \uc808\ub300\uc218\ub834\ud558\ubbc0\ub85c \uadf8 \uadf9\ud55c\uac12\uc744\u00a0 L <\/span> \uc774\ub77c \ub193\uace0, \uadf9\ud55c\uc758 \uc815\uc758\ub97c \uc0ac\uc6a9\ud574 \ubcf4\uc790. \uadf8\ub9ac\uace0 \\sum x_n <\/span>\uc774 \uc808\ub300\uc218\ub834 \ud55c\ub2e4\ub294 \uac83\uc5d0 \ub300\ud574 Cauchy \uc815\ub9ac\ub97c \uc0ac\uc6a9\ud574 \ubcf4\uc790. (\uc6d0\ub798\ub294\u00a0 |s_m - s_n| <\u00a0\\epsilon <\/span> \ud615\ud0dc\ub85c \uc801\ub294\uac8c \uc88b\uae34 \ud560 \ud150\ub370 \ubb38\uc790\uac00 \ub9ce\uc774 \ub098\uc640\uc11c \uadf8\ub0e5 \ud480\uc5b4\uc11c \uc801\uc5c8\ub2e4.)<\/p>\n y_n\u00a0<\/span>\uc740 x_n\u00a0<\/span>\uc758 rearrangement \uc774\ubbc0\ub85c, \ubd80\ubd84\ud569\uc744 \uc0dd\uac01\ud558\uba74 \uae30\uaecf\ud574\uc57c \uc720\ud55c\uac1c\uc758 \ud56d\ub9cc\uc774 \uc21c\uc11c\uac00 \ubcc0\uacbd\ub418\uc5b4 \uc788\ub2e4\ub294 \uac83\uc744 \uace0\ub824\ud558\uc790. \uadf8\ub7ec\ubbc0\ub85c \uc21c\uc11c\uac00 \ubcc0\uacbd\ub418\uc5b4 \uc788\ub294 \ud56d\ubcf4\ub2e4 \ub354 \ud070 \ucda9\ubd84\ud788 \ud070 \uc218 N <\/span>\uc744 \uc0dd\uac01\ud558\uba74 x_1, x_2, \\cdots, x_{N} <\/span> \uae4c\uc9c0\uc758 \ubaa8\ub4e0 \ud56d\uc774 t_N <\/span> \uc5d0\ub3c4 \ub098\ud0c0\ub0a0 \uac83\uc774\ub2e4. \uc774\ub7ec\ud55c\u00a0 N > N_1, N_2 <\/span> \uc774 \ub418\ub3c4\ub85d \uc120\ud0dd\ud55c\ub2e4. \uadf8\ub7ec\uba74\u00a0 m > N <\/span> \uc5d0 \ub300\ud574\uc11c \uc774\uc81c t_n <\/span> \uc758 \uadf9\ud55c\uac12\uc774\u00a0 L <\/span> \uc784\uc744 \ubcf4\uc774\uae30 \uc704\ud574 \ub2e4\uc74c\uc744 \uacc4\uc0b0\ud574 \ubcf4\uc790. m \\in \\mathbb {N}\u00a0<\/span>\ub300\ud574\uc11c m > N <\/span> \uc774\ub77c\uba74,<\/p>\n |t_m-L| = |t_m-s_N + s_N - L| \\\\ < |t_m-s_N| + |s_N - L| < \\epsilon + \\epsilon = 2\\epsilon <\/span>\n \uc784\uc758\uc758 \u00a0\\epsilon > 0 <\/span> \uc5d0 \ub300\ud574 \uc131\ub9bd\ud558\ubbc0\ub85c\u00a0 t_n <\/span> \uc740 L\u00a0<\/span>\ub85c \uc218\ub834\ud558\uac8c \ub41c\ub2e4.<\/p>\n \uc554\ud2bc \ubb34\ud55c\uc758 \uc138\uacc4\uc5d0\uc11c\ub294 \uc21c\uc11c\ub97c \ub9c9 \ubc14\uafd4\uc11c \uacc4\uc0b0\ud558\uba74 \uac12\uc774 \ubcc0\uacbd\ub420 \uc218 \uc788\ub2e4\ub294 \uac83\uc744 \uc774\uc57c\uae30\ud558\uace0 \uc2f6\uc5b4\uc11c \uc774\ub807\uac8c \ub0b4\uc6a9\uc744 \uc801\uc5b4\ubd24\ub2e4. \uc808\ub300\uc218\ub834\ud558\ub294 \uc218\uc5f4\uc5d0\uc11c\ub9cc \uc21c\uc11c\ub97c \ubc14\uafd4\uc11c \uacc4\uc0b0\ud558\uc790;<\/p>\n \uc6cc\ub4dc\ud504\ub808\uc2a4\ub85c \uc218\uc2dd \uc801\ub294 \uac83 \ub108\ubb34 \ud798\ub4dc\ub124…<\/p>\n","protected":false},"excerpt":{"rendered":" \ubb34\ud55c\uae09\uc218\uc758 \uc808\ub300\uc218\ub834, \uc870\uac74\uc218\ub834\uc5d0 \ub300\ud55c \uc815\uc758\uc640 \uae09\uc218\uc758 Grouping, \uadf8\ub9ac\uace0 \uae09\uc218\uc758 \uc7ac\ubc30\uc5f4\uc5d0 \ub300\ud55c \ub0b4\uc6a9\uc785\ub2c8\ub2e4.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":""},"categories":[349],"tags":[77,78,79],"_links":{"self":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/833"}],"collection":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=833"}],"version-history":[{"count":86,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/833\/revisions"}],"predecessor-version":[{"id":6092,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/833\/revisions\/6092"}],"wp:attachment":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n \\epsilon > 0 <\/span>\u00a0 \uc5d0 \ub300\ud574 m, n \\in \\mathbb {N} <\/span>\uc774 \uc874\uc7ac\ud574\uc11c\u00a0 m>n>N <\/span> \uc774\uba74,\u00a0 ||s_m|-|s_n|| <\u00a0\\epsilon <\/span> \uc774 \uc131\ub9bd\ud55c\ub2e4. ( N \\in \\mathbb {N}\u00a0<\/span>) \ub2e4\uc2dc \uc801\uc73c\uba74 |x_m|+|x_{m-1}|+ \\cdots +\u00a0|x_{n+1}|<\\epsilon <\/span> \uc774 \ub41c\ub2e4.<\/p>\n
\n |s_m-s_n| = |x_m+x_{m-1}+ \\cdots +x_{n+1}| \\\\ < |x_m|+|x_{m-1}|+ \\cdots +\u00a0|x_{n+1}|<\\epsilon <\/span>\n
\n
\n
\n \\epsilon > 0 <\/span>\u00a0 \uc5d0 \ub300\ud574 N_1 <\/span>\uc774 \uc874\uc7ac\ud574\uc11c\u00a0 n > N_1 <\/span> \uc774\uba74\u00a0 |s_n-L| <\u00a0\\epsilon <\/span> \uc774 \uc131\ub9bd\ud55c\ub2e4.<\/p>\n
\n \\epsilon > 0 <\/span>\u00a0 \uc5d0 \ub300\ud574 N_2 <\/span>\uac00 \uc874\uc7ac\ud574\uc11c\u00a0 m > N_2 <\/span> \uc774\uba74
\n |x_m|+|x_{m-1}|+\\cdots+|x_{N_2+1}| <\u00a0\\epsilon ~ \\cdots (1) <\/span> \uc774 \uc131\ub9bd\ud55c\ub2e4.<\/p>\n
\n |t_m - s_N| = |x_m+x_{m-1}+\\cdots + x_{N+1}| \\\\ < |x_m|+|x_{m-1}|+\\cdots +|x_{N+1}| \\\\ <\u00a0|x_m|+|x_{m-1}|+\\cdots +|x_{N_2+1}| < \\epsilon <\/span> \uc744 \uc5bb\uc744 \uc218 \uc788\ub2e4.
\n t_m <\/span>\uc740 \uacb0\uad6d x_n\u00a0<\/span>\uc758 \uc7ac\ubc30\uc5f4\uc774\ub77c\ub294 \uc810\uc744 \uc0dd\uac01\ud558\uace0 \uc218\uc2dd(1)\uc744 \uc774\uc6a9\ud558\uc600\ub2e4. \uc774 \ubd80\ubd84\uc758 \ub17c\ub9ac \uc804\uac1c\ub97c \uc704\ud574 \uc808\ub300\uc218\ub834\uc774\ub77c\ub294 \uc870\uac74\uc774 \ud544\uc694\ud558\ub2e4.<\/p>\n
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