问题描述: 计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100) 1个回答 分类:数学 2014-10-23 问题解答: 我来补答 1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100)=[1/x - 1/(x+1)] +[1/(x+1) - 1/(x+2) ]+.+[1/(x+99) - 1/(x+100)]=1/x - 1//(x+100) =100/x(x+100) 展开全文阅读