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lim(n→∞)(1/(n^2+1)+4/(n^2+1)+7/(n^2+1)+3n-2/(n^2+1)=
人气:281 ℃ 时间:2020-06-19 01:17:14
解答
原式=lim(n→∞)[1+4+7+……+(3n-2)]/n²+1)
=lim(n→∞)[(3n-1)n/2]/n²+1)
=lim(n→∞)(3n²-n)/(2n²+2)
上下除以n²
=lim(n→∞)(3-1/n)/(2+2/n²)
=3/2
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