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当n趋向于无穷大时,求(1+2²+3²+…+n²)/n³ 极限
人气:118 ℃ 时间:2020-04-18 18:03:18
解答
lim[n→+∞](1+2²+3²+…+n²)/n³
=lim[n→+∞]n(n+1)(2n+1)/(6n^3)
=lim[n→+∞]1(1+1/n)(2+1/n)/6
=1/3
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