计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011
问题描述:
计算:1/1x2+1/2x3+1/3x4+.+1/2010X2011
答
1/1x2+1/2x3+1/3x4+.+1/2010X2011
=1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011
=1-1/2011=2010/2011