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lim(x→∞)1+2+3+…+n/(n+2)(n+4)=?
人气:187 ℃ 时间:2020-04-03 22:39:00
解答
lim(x→∞)(1+2+3+…+n)/[(n+2)(n+4)]
=lim(x→∞)n(n+1)/[2(n+2)(n+4)]
=lim(x→∞)(1+1/n)/[2(1+2/n)(1+4/n)]
=1/2
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