计算:1/x(x+1) + 1/(x+1)(x+2) + .+1/(x+2010)(x+2011)

问题描述:

计算:1/x(x+1) + 1/(x+1)(x+2) + .+1/(x+2010)(x+2011)
1个回答 分类:数学 2014-11-10

问题解答:

我来补答
1/x(x+1) + 1/(x+1)(x+2) + . +1/(x+2010)(x+2011)
=1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+2010)-1/(x+2011)
=1/x-1/(x+2011)
=2010/x(x+2011)
 
 
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