计算:1/x(x+1)+1/(x+1)(x+2)+……+1/(x+2007)(x+2008)._数学解答

计算:1/x(x+1)+1/(x+1)(x+2)+……+1/(x+2007)(x+2008).

人气：307 ℃　时间：2019-10-08 04:54:31

解答

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））