计算:1/x(x+1)+1/(x+1)(x+2)+……+1/(x+2007)(x+2008).
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计算:1/x(x+1)+1/(x+1)(x+2)+……+1/(x+2007)(x+2008).
原式可等价于1/X-1/(X+1)+1/(X+1)-1/(X+2)+.+1/(X+2007)-1/(X+2008)=1/X-1/(X+2008)=X/(X(X+2008))
计算:1/x(x+1)+1/(x+1)(x+2)+……+1/(x+2007)(x+2008).
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