对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-

来源：学生作业帮助网编辑：六六作业网时间：2024/11/17 19:46:25

对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+

对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-
对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-

对这道题怎么解-----|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-
|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2010-1/2009|
=1-1/2+1/2-1/3+.+1/2009-1/2010
=1-1/2010
=2009/2010