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Catullus · 07/03/2022, 04:41 AM

How fast does $[Image: svg.image?d\div%20dxslog_%7Be_4%7D(x)]$ go to zero?
It can not be that fast, otherwise $[Image: svg.image?slog_%7Be_4%7D(x)]$ would converge.

JmsNxn · 07/03/2022, 07:23 AM

Hey catullus.

This dates back to ramanujan. But the answer is it goes to zero slower than every function:

\[
1/\log^{\circ n}(x)\\
\]

For all $n \in \mathbb{N}$. So... very fucking slow.

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