1/1x2+1/2x3+1/3x4+1/4x5+...+1/2009x2010

分类: 作业答案 • 2023-01-03 10:30:31

问题描述：

答

1/1x2+1/2x3+1/3x4+1/4x5+...+1/2009x2010
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/2009-1/2010
=1-1/2010
=2009/2010