Derivative of the Tetration Logarithm
#1
Question 
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.
Please remember to stay hydrated.
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
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#2
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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