Let LIM (x →∞) (1 + 3 / x) ^ KX = e ^ (- 3), then K=____ The answer is k = - 1, | Math enthusiast | Mathematical art

Let LIM (x →∞) (1 + 3 / x) ^ KX = e ^ (- 3), then K=____ The answer is k = - 1,

lim(x→∞)(1+3/x)^(x/3)*(3k)
=e^3k=e^(-3)
So k = - 1
According to the general test
lim(x→∞)(1+1/x)^x=e

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