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1/X-1/X(X+1)-1/(X+1)(X+2)-.-1/(X+2015)(X+2016)

嚼着口香糖吹泡泡 1年前 已收到1个回答 举报

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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)

1年前

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