化简|1/2-1|+|1/3-1/2|……|1/2000-1/1999

问题描述:

化简|1/2-1|+|1/3-1/2|……|1/2000-1/1999

|1/2-1|+|1/3-1/2|……|1/2000-1/1999|
=1-1/2+1/2-1/3……+1/1999-1/2000
=1-1/2000
=1999/2000答案好像不太对耶有什么不对?