问题描述: a=1,b=2.求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2009)(b+2008)的值? 1个回答 分类:综合 2014-12-06 问题解答: 我来补答 a=1,b=2.则1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2009)(b+2009)=1/1x2+1/2x3+1/3x4+…x1/2010x2011=1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011=1-1/2011=2010/2011 展开全文阅读