求(x→∞)lim(1+2/x)^x的极限,
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求(x→∞)lim(1+2/x)^x的极限,
![求(x→∞)lim(1+2/x)^x的极限,](/uploads/image/z/19623504-48-4.jpg?t=%E6%B1%82%28x%E2%86%92%E2%88%9E%29lim%281%2B2%2Fx%29%5Ex%E7%9A%84%E6%9E%81%E9%99%90%2C)
(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
=(x→∞)lim[(1+(1/(x/2)))^(x/2)]^(2)
=[(x→∞)lim(1+(1/(x/2)))^(x/2)]^(2)
=e^2
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