题目内容：

1/1X2+1/2X3+1/3X4+……+1/2012X2013

优质解答

1/1X2+1/2X3+1/3X4+……+1/2012X2013
=1-1/2+1/2-1/3+1/3-1/4+...+1/2012-1/2013
=1-1/2013
=2012/2013