计算：l1-1/2l+l1/2-1/3l+1/3-1/4l+……+l1/9-1/10l
问题描述：
计算：l1-1/2l+l1/2-1/3l+1/3-1/4l+……+l1/9-1/10l
求教：1-1/2的绝对值加1/2-1/3的绝对值……加1/9-1/10的绝对值,怎样计算?
答
|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/9-1/10|
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/9-1/10)
=1-1/2+1/2-1/3+1/3-1/4+.+1/9-1/10
=1-1/10
=9/10