作者armopen (八字-風水-姓名學)
看板Math
標題Re: [微積] 微積分有關極限的證明
時間Sun Mar 2 00:00:23 2014
※ 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
→ suhorng :應該是 ...forall δ>0 there exists...s.t...才對 03/02 00:51
→ bjiyxo :回樓上,我只看過原po的寫法沒看過你的 03/02 01:37
→ THEJOY :最後應該是 for some x with 0<|x-a|<δ ? 03/02 02:20