问题描述: 化简:x(x+1)分之1+(x+1)(x+2)分之1+(x+2)(x+3)分之1+.+(x+2006)(x+2007)分之1 1个回答 分类:数学 2014-11-13 问题解答: 我来补答 1/x(x+1)=1/x-1/(x+1)1/(x+1)(x+2)=1/(x+1)-1/(x+2).1/(x+2006)(x+2007)=1/(x+2006)-1/(x+2007)x(x+1)分之1+(x+1)(x+2)分之1+(x+2)(x+3)分之1+.+(x+2006)(x+2007)分之1=1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+2006)-1/(x+2007)=1/x-1/(x+2007)=2007/x(x+2007) 展开全文阅读