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  • 計算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)

    計算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)
    數(shù)學(xué)人氣:656 ℃時間:2019-09-18 05:26:49
    優(yōu)質(zhì)解答
    1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)
    =1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+……+1/(x+9)-1/(x+10)
    =1/x-1/(x+10)
    =(x+10-x)/{x(x+10)}
    = 10/{x(x+10)}
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