设函数f(x)连续,求lim(x→b)x∧2/(x-b)∫(x,b)f(t)dt,求解
人气:390 ℃ 时间:2020-05-27 17:35:29
解答
(1)落毕达法则:上下同时求导,分子为x∧2*∫(x,b)f(t)dt,分母为(x-b),分母求导为1,分子求导为2x∫(x,b)f(t)dt-x^2*f(x),此时带入x=b,可以求得极限为-b^2f(b)(2)定义:根据导数的定义求,lim(x→b)g(x)/(x-b)相当于...
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