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已知f(x) 可导,并且limx→无穷 {f(1)-f(x-1)} /2x =-1,则f(1)等于多少
人气:448 ℃ 时间:2020-02-06 04:49:48
解答
limx→无穷 {f(1)-f(x-1)} /2x
=limx→无穷-1/2* {f(1)-f(x-1)}/(1-(x-1))
=-1/2*limx→无穷 {f(1)-f(x-1)} /(1-(x-1))
=-1/2*f'(1)
=-1
f'(1)=2
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