f is differentiable on [tex](a,\infty)[/tex] and(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lim_{x\to\infty}\frac{f(x)}{x}=A[/tex]

I am trying to prove that there exists a sequence [tex]\{x_n\}, x_n\rightarrow \infty,[/tex] such that [tex]f'(x_n)\rightarrow A.[/tex]

Any help would be appreciated.

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# Differentiable function, limits, sequence

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