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求(x→∞)lim(1+2/x)^x的极限,
人气:442 ℃ 时间:2020-04-27 04:19:57
解答
(x→∞)lim(1+2/x)^x
=(x→∞)lim[(1+(1/(x/2)))^(x/2)]^(2)
=[(x→∞)lim(1+(1/(x/2)))^(x/2)]^(2)
=e^2
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