计算：1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+……+1/(x-2010)(x-2011)

1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+……+1/(x-2010)(x-2011)
=1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+1/(x-4)-1/(x-3)+.+1/(x-2011)-1/(x-2010)
=1/(x-2011)-1/(x-1)
=2010/[(x-2011)(x-1)]您确定一定以及肯定是对的？对的如果对我会加分！肯定对的