题目内容：

-（-1/1x2-1/2x3-1/3x4-1/4x5-.-1/2001x2002）

优质解答

-（-1/1x2-1/2x3-1/3x4-1/4x5-.-1/2001x2002）
=1-1/2+1/2-1/3+.+1/2001-1/2002
=1-1/2002
=2001/2002