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数学
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当n趋近于无穷大时,求1/1×2+1/2×3+…+1/n(n+1)的极限
人气:340 ℃ 时间:2020-05-19 19:20:50
解答
1
1/(1×2)+1/(2×3)+...+1/[n(n+1)]=1-1/2+(1/2-1/3)+...+[1/n-1/(n+1)]
=1-1/(n+1)
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