运用裂项相消的办法,例如1/x(x+1)=1/x-1/(x+1),后面运用同样的方法完成.最后2007/x(x+2007)
化简：1/X(X+1) +1/(X+1)+(X+2) +1/(X+2)(X+3) +.+1/(X+2006)(X+200
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