1/1x2+1/2x3+1/3x4...1/2002x2003

分类: 作业答案 • 2023-01-10 00:16:56

问题描述：

1/1x2+1/2x3+1/3x4...1/2002x2003
如题,

答

1/1x2+1/2x3+1/3x4...1/2002x2003
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/2002-1/2003)
=1-1/2003
=2002/2003