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lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限
人气:196 ℃ 时间:2020-02-03 05:37:44
解答
lim[n(1-1/2)(1-1/3).(1-1/n-1)] (n趋向于无穷)
=lim(n * 1/2 * 2/3 * 3/4 * ...* (n-2)/(n-1))
=lim(n/(n-1))
=lim(1/(1 - 1/n))
=1
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