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) 展开全文阅读