化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=
问题描述：
化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=
1
答
题目是不是应该这样的：1/(x+1)(x+2)+1/(x+2)(x+3)+……1/(x+2005)(x+2006)=1/[x+1]-1/[x+2]+1/[x+2]-1/[x+3]+.+1/[x+2005]-1/[x+2006]=1/[x+1]-1/[x+2006]=2005/[x+1][x+2006]