Does there exist a continuous function which outgrows polynomial growth, but not exponential growth?(adsbygoogle = window.adsbygoogle || []).push({});

I.e. does a there exist a continuous function f such that [tex]\frac{x^n}{f(x)} \to 0[/tex] and [tex]\frac{f(x)}{a^x} \to 0[/tex] for all positive real n and a?

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# Growth of a function

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