[考古] 成大考古( 不知年份 )

看板trans_math作者youyouyou (成大或台大嚕~幹)時間20年前 (2005/06/16 21:47)推噓5(5推 0噓 0→)

留言5則, 5人參與討論串1/3 (看更多)

1 n 1 lim --- sigma --- = ? n->oo n k=1 k 1 1 Is the integral S sin --- dx conergnet ? Justify your answer. 0+ x Let f be differentiable for x>0. Prove or disprove (i) If lim f(x) = 0 , then lim f'(x) = 0 x->oo x->oo (ii) If lim f(x) = oo , then lim f'(x) = - oo x->0+ x->0+ Find the Maclaurin series of f(x) =( 1+ x)^a,where a 屬於 R. Show that the function f(x) is analytic at x=0. Find the 4-th order Taylor's expansion of sin(x+2y) at the point (0,0). 設函數 f:I -> R , 其中 I 為一非退化區間. (a) 試証: 若 f 為連續, 則 f 必具反倒函數. (b) 試問: 若 f 具反導函數, f 是否必為連續 ? 謝謝解答 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.115.213.118 ※ 編輯: youyouyou 來自: 140.115.213.118 (06/16 21:56)

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beatitude

218.167.173.126 06/16, , 1^F

218.167.173.126 06/16, 1^F

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conanhide

210.64.211.24 06/16, , 2^F

210.64.211.24 06/16, 2^F

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youyouyou

140.115.213.118 06/17, , 3^F

140.115.213.118 06/17, 3^F