lim(n→∞) {1+2/n}^kn =e^-3.则k=?
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lim(n→∞) {1+2/n}^kn =e^-3.则k=?
![lim(n→∞) {1+2/n}^kn =e^-3.则k=?](/uploads/image/z/15027546-66-6.jpg?t=lim%EF%BC%88n%E2%86%92%E2%88%9E%EF%BC%89+%7B1%2B2%2Fn%7D%5Ekn+%3De%5E-3.%E5%88%99k%3D%3F)
lim(n→∞) {1+2/n}^kn =lim(n→∞) {1+2/n}^[(n/2)2k] =e^(2k)
e^(2k)=e^(-3)
2k=-3
k=-3/2
e^(2k)=e^(-3)
2k=-3
k=-3/2
lim(n→∞) {1+2/n}^kn =e^-3.则k=?
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