33 given a smooth function f r r show that lim _ n rightarrow infty le
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33. Given a smooth function f: R → R, show that \lim _{n \rightarrow \infty}\left(\frac{f\left(x+\frac{1}{n}\right)}{f(x)}\right)^{n}=\exp \left(\frac{f^{\prime}(x)}{f(x)}\right)
