不然我可以給出反例
f(x) = ln(x) (0f(x)是連續(xù)函數(shù)，如何證貌似連續(xù)也沒用啊f(x) = sin(x-1)(x>=1)f(x) = -f(1/x) = -sin(1/x - 1)(0
定義在正實(shí)數(shù)集上的函數(shù)f(x)滿足f(x)=-f(1/x)對(duì)一切正實(shí)數(shù)x恒成立,求證f(x)為單調(diào)函數(shù)
定義在正實(shí)數(shù)集上的函數(shù)f(x)滿足f(x)=-f(1/x)對(duì)一切正實(shí)數(shù)x恒成立,求證f(x)為單調(diào)函數(shù)
f(x)是連續(xù)函數(shù)
f(x)是連續(xù)函數(shù)
數(shù)學(xué)人氣：598 ℃時(shí)間：2020-04-09 01:30:02
優(yōu)質(zhì)解答
我認(rèn)為這個(gè)命題缺少一個(gè)條件,就是f(x)是連續(xù)可導(dǎo)的.
不然我可以給出反例
f(x) = ln(x) (0f(x)是連續(xù)函數(shù)，如何證貌似連續(xù)也沒用啊f(x) = sin(x-1)(x>=1)f(x) = -f(1/x) = -sin(1/x - 1)(0
不然我可以給出反例
f(x) = ln(x) (0f(x)是連續(xù)函數(shù)，如何證貌似連續(xù)也沒用啊f(x) = sin(x-1)(x>=1)f(x) = -f(1/x) = -sin(1/x - 1)(0
我來回答
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