作者selient (假安静)
看板NCCU06_Stat
标题[讨论] 微积分作业
时间Tue Oct 3 00:03:57 2006
4.Suppose that g ia an increasing function on an interval [a,b] and g is
continuous at every point on [a,b].Let-1g denote the inverse function
of g when the domain of g is restricted to [a,b]. Suppose that
g(a) < c < g(b).Then the following statement is true.
For every ε> 0, take ξto be the minimum of b - g-1(c), g-1(c) - a andε
,and take δto be the minimum of [g(g-1(c)+ξ) - c] and [c - g(g-1(c) - ξ)]
.Then
∣X - c｜<δ => ｜g-1(x) - g-1(c)｜<ε
What does the above statement say about lim g-1(x)?
x->c
5.Suppose that f(x)=x/sinx for x≠0 and f is continuous at 0.
(a) What is f(0)?
(b) Show that f is continuous at c for every c in (-∞,∞).
(c) Find that lim f(sin-1(x)) using the Composition Limit Rule (p.73 in
x->c
the text) and the result from Problem 4.
God damn hard!
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1F：→ olycats:goddamn好像是一个字 骗p币的家伙 大家缺钱找他要 10/03 00:04
2F：→ olycats: ◆ 这一篇文章值 342 银 10/03 00:06
3F：→ selient:.........真的是一个单字 10/03 00:08
4F：→ fday:不得不说 你真的是个智障 转去数学版吧 10/03 00:09
5F：→ selient:可以分开用吧= = 10/03 00:10
6F：推 fday:恩 转好了 等强者吧 你可以去睡觉了 10/03 00:13
7F：推 selient:作业後天交耶= = 有伦哥要抄 10/03 00:16