化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=1

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化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=1化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=1

化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=1
化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=
1

化简1/(x+1)(x+2)+1/(x+3)(x+4)+……1/(x+2005)(x+2006)=1
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]

题目有问题,看看有没有抄错