先要知道
1/n×(n+1)=1/n-1/n+1然后就好办了
原始
=1/1-1/2 + 1/2-1/3 + 1/3-1/4.-1/2005+1/2005-1/2006 (正负两两相消)
=1-1/2006
=2005/2006