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Answer by Mateusz Kwaśnicki for Slowly-varying functions near zero

Not sure if this answers the question.For a given $f$ slowly varying at $\infty$, one can find $\lambda$ convergent to $0$ at $\infty$ such that $f(\lambda(x)) / f(x)$ converges to $1$ as $x \to...

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Slowly-varying functions near zero

I am cross-posting the question below, which I asked in Mathematics StackExchange a week ago and did not receive answers there. Thank you for your help!It is well known that, if $x\mapsto f(x)$ is a...

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