但愿看得懂- - 答案是1/x-5

问题描述:

但愿看得懂- - 答案是1/x-5
1个回答 分类:数学 2014-10-19

问题解答:

我来补答
1/(x-1)+1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)
=1/(x-1)+1/(x-2)-1/(x-1)]+[1/(x-3)-1/(x-2)]+[1/(x-4)-1/(x-3)]+[1/(x-5)-1/(x-4)]
=1/(x-1)+1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+1/(x-4)-1/(x-3)+1/(x-5)-1/(x-4)
=1/(x-5)
 
 
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