1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+....1/(x+99)(x+100)怎么算

发布时间:2019-08-28 21:11:24

1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+....1/(x+99)(x+100)怎么算

推荐回答

1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+....1/(x+99)(x+100)=1/x-1/x+1+1/(x+1)-1/(x+2)+1/(x+2)-1/(1+3)+....+1/(x+99)-1/(x+100)=1/x-1/(x+100)
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