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化简1/1×2+1/2×3+1/3×4+……1/n(n+1)
人气:261 ℃ 时间:2020-03-28 19:29:38
解答
1/1×2+1/2×3+1/3×4+……1/n(n+1)
=1-1/2+1/2-1/3+...+1/(n-1)-1/n+1/n-1/(n+1)
=1-1/(n+1)
=n/(n+1)
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