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求limx→∞[(3x+2)/(3x-1)]^2x-1
人气:234 ℃ 时间:2020-02-21 14:47:07
解答
运用重要极限 lim(x→0)(1+x)^(1/x)=e
lim(x→∞)[(3x+2)/(3x-1)]^2x-1
=lim(x→∞)[1+3/(3x-1)]^[(3x-1)/3]*[3*(2x-1)/(3x-1)]
=e^lim(x→∞)[3*(2x-1)/(3x-1)]
=e^2
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