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更新1:
This theorem is rubbish, right?
Hung Fung book 2 (Theorem3-3)
2011-12-01 5:51 am
If lim(x->a)f(x) exists, then f(x) is bounded at the points near x=a. (The result may not hold at the point x=a.)
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回答 (1)
2011-12-01 7:18 am
✔ 最佳答案
若果lim(x->a)f(x) 存在, 則 f(x) 在x = a 附近有界這是很明顯的。因為lim(x->a)f(x)存在表示0 < | x − a | < δ 蘊含 | f(x) − L | < ε
因此L - ε < f(x) < L + ε
收錄日期: 2021-04-26 14:55:48
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111130000051KK00837