考研数学,这里为什么不能用积分中值定理,我用了结果为1⼀2正确结果为3⼀4,哪里错了??

2025-03-16 18:37:45
推荐回答(5个)
回答1:

你这个地方不能用积分中值定理,原因是这个积分用到中值定理后会化为x*f(ξ),其中,ξ介于0和x之间,引入了一个新的变量,而且这个ξ的变化是跟x有关的,也就是说,ξ是x的函数,两者之间的无穷小变化关系你是不确定的,用了积分中值定理以后化简到这里,分子分母的x虽然可以约掉,但是新出来的ξ处理不了,所以不能用积分中值定理。

回答2:

说实话,考研数学呢还是比较难的,嗯,一般想要考过的几率真的很低。但是这个题目的话,积分中值定理的话不适合这道题目。所以你的结果跟正确结果有出入。

回答3:

题目条件f(0)=0,不能用,分母为0无意义;
当f(0)不等于0时,可以用你那种方法

回答4:

正确结果应该是1/4吧,这题f0和f'0都已给出,考虑在x=0对fx泰勒展开到它的二阶导数,就可以求出极限。

回答5:

但情况下考研数学的话,我建议你的话就是去一般去作业帮什么的,然后这里的话其实很难解答。

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