计算1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+……+1/(x+2007)(x+2008)快一点好吗5555……

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计算1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+……+1/(x+2007)(x+2008)快一点好吗5555……计算1/(x+1)(x+2)+1/(x+2)(x+3)

计算1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+……+1/(x+2007)(x+2008)快一点好吗5555……
计算1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+……+1/(x+2007)(x+2008)
快一点好吗5555……

计算1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+……+1/(x+2007)(x+2008)快一点好吗5555……
=1/(x+1)-1/(x+2007)

=1/(x+1)-1/(x+2008)