l1/3-1/2l+l1/4-1/3l+l1/5-1/4l+……+l1/2012-1/2011l 怎么算
问题描述:
l1/3-1/2l+l1/4-1/3l+l1/5-1/4l+……+l1/2012-1/2011l 怎么算
答
l1/3-1/2l+l1/4-1/3l+l1/5-1/4l+……+l1/2012-1/2011l
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2011-1/2012
=1-1/2012
=2011/2012