计算:l1/3-1/2l+l1/4-1/3l+l1/5+1/4l+……+l1/2012-1/2011l
问题描述:
计算:l1/3-1/2l+l1/4-1/3l+l1/5+1/4l+……+l1/2012-1/2011l
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
=1/2-1/2012
=1005/2012