Re: [微積] 微積分有關極限的證明

看板Math作者 (八字-風水-姓名學)時間12年前 (2014/03/02 00:00), 編輯推噓0(003)
留言3則, 3人參與, 最新討論串2/3 (看更多)
※ 引述《yosifu ()》之銘言: : Without using any negative words, : state what it means to say that the limit of f(x), : as x approaches a, is not L. Orginal statement: For all ε>0, there is δ > 0 so that |f(x) - L| < ε whenever 0 < |x - a| < δ. Negation of the original statement: There is ε > 0, for all δ > 0 so that |f(x) - L| >= ε whenever 0 < |x - a| < δ. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 114.37.138.145

03/02 00:51, , 1F
應該是 ...forall δ>0 there exists...s.t...才對
03/02 00:51, 1F

03/02 01:37, , 2F
回樓上,我只看過原po的寫法沒看過你的
03/02 01:37, 2F

03/02 02:20, , 3F
最後應該是 for some x with 0<|x-a|<δ ?
03/02 02:20, 3F
文章代碼(AID): #1J4WGPf3 (Math)
文章代碼(AID): #1J4WGPf3 (Math)