Derivative of the Tetration Logarithm Catullus Fellow Posts: 213 Threads: 47 Joined: Jun 2022   07/03/2022, 04:41 AM How fast does $d\div dxslog_{e_4}(x)$ go to zero? It can not be that fast, otherwise $slog_{e_4}(x)$ would converge. Please remember to stay hydrated. ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\ JmsNxn Ultimate Fellow Posts: 1,065 Threads: 121 Joined: Dec 2010 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. « Next Oldest | Next Newest »

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