1/2+1/6+1/12+...1/9702+1/9900=

分类: 作业答案 • 2022-08-09 12:17:14

问题描述：

答

1/2+1/6+1/12+...1/9702+1/9900
=1/(1x2)+1/(2x3)+1/(3x4)+...+1/(98x99)+1/(99x100)
=1-1/2+1/2-1/3+1/3-1/4+...+1/98-1/99+1/99-1/100
=1-1/100
=99/100