问题描述: 计算:1/a(a+1)+1/(a+1)(a+2)+...+1/(a+2006)(a+2007)快啊,等着救命聂! 1个回答 分类:数学 2014-12-07 问题解答: 我来补答 裂项:1/a(a+1)=1/a-1/(a+1)1/a(a+1)+1/(a+1)(a+2)+...+1/(a+2006)(a+2007)=1/a-1/(a+1)+1/(a+1)-1/(a+2)+...+1/(a+2006)-1/(a+2007)=1/a-1/(a+2007) 展开全文阅读