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数学
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lim (1-1/3x)^x x→∞ 求极限
lim(1+1/x)^x=e
人气:282 ℃ 时间:2020-03-21 22:19:16
解答
lim (1-1/3x)^x
=[lim(1+1/(-3x))^(-3x)]^(-1/3)
把-3x看做整体,利用结论lim(1+1/x)^x=e
得到上式的极限为e^(-1/3)
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