※ 引述《jeffreyko (徘徊)》之銘言：
: Suppose that a fuction f is continuous
: on the closed interval [0,1] and that
: 0<f(x)<1 for every x in [0,1]. Show that
: there must exist a number c in [0,1] such
: that f(c)=c (c is called a fixed point of f).
: 我看不懂這題的意思
: 教教我ㄅㄚ
翻譯;
假設一個函數f在閉區間[0,1]裡是連續的.而且
對每個在[0,1]閉區間的x值皆滿足0<f(x)<1.
試證明在[0,1]閉區間內必定存在一個數c使得
f(c)=c
我覺得可能是要利用微分均值定裡來證明
試試看吧!
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