分式的加减.已知1/m-1/(m+1)=1/m(m+1),请你化简.1/(n+1)(n+2)+1/(n+2)(n+3)+…+1/(_其他解答

分式的加减.已知1/m-1/(m+1)=1/m(m+1),请你化简.
1/(n+1)(n+2)+1/(n+2)(n+3)+…+1/(n+2006)(n+2007)+1/(n+2007)(n+2008).
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人气：123 ℃　时间：2020-06-03 08:34:05

解答

1/(n+1)(n+2)+1/(n+2)(n+3)+…+1/(n+2006)(n+2007)+1/(n+2007)(n+2008).=1/(n+1)-1/(n+2)+1/(n+2)-1/(n+3)+…+1/(n+2006)-1/(n+2007)+1/(n+2007)-1/(n+2008).=1/(n+1)-1/(n+2008).=2007/[(n+1)(n+2008)]