List questions from tetration

Published on 25 Mar 2026 - 12:54

384

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Why tetration and more are not common in nature?

Published on 10 May 2026 - 16:56

153

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Why is $x^{1.36^x}$ such a good approximate to $\int_{0}^{x}t^t dt$?

Published on 15 Apr 2026 - 13:25

157

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Behaviour and closed forms of iterated functions

Published on 12 Apr 2026 - 15:09

235

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Computation of Digits in Tetration

Published on 11 Apr 2026 - 2:10

712

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Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.

Published on 17 Apr 2026 - 10:29

212

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Evaluate $\lim\limits_{n\rightarrow\infty} \mathrm{srt}_n\left({^{n+1}}2\right)$

Published on 16 Apr 2026 - 22:45

188

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New commutative hyperoperator?

Published on 10 May 2026 - 18:56

99

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What will be the domain of this tetration tower?

Published on 13 Apr 2026 - 16:15

257

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How to compute $\,3^{3^{3^{\:\!\phantom{}^{.^{.^.}}}}}\!\!\!\!\bmod 46,$ for power tower height $2020$?

Published on 25 Mar 2026 - 17:53

198

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what does $\lim _{x\to 0}$ $x^{x^{x^{x^{x^{x\cdots}}}}}$ evaluate to?

Published on 16 Apr 2026 - 19:23

219

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Confusing pictures about tetration !?

Published on 10 May 2026 - 22:05

57

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Estimates on growth of $^{n}3$

Published on 12 Apr 2026 - 1:46

289

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Integrating $x^{x^x}$

Published on 30 Apr 2026 - 14:12

82

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Find the last digits of $a_{2009}$, and of $b_{2009}$.

Published on 25 Mar 2026 - 19:25

List Question

Verifying uniqueness of my tetration

Why tetration and more are not common in nature?

Why is $x^{1.36^x}$ such a good approximate to $\int_{0}^{x}t^t dt$?

Behaviour and closed forms of iterated functions

Computation of Digits in Tetration

Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.

Evaluate $\lim\limits_{n\rightarrow\infty} \mathrm{srt}_n\left({^{n+1}}2\right)$

New commutative hyperoperator?

What will be the domain of this tetration tower?

How to compute $\,3^{3^{3^{\:\!\phantom{}^{.^{.^.}}}}}\!\!\!\!\bmod 46,$ for power tower height $2020$?

what does $\lim _{x\to 0}$ $x^{x^{x^{x^{x^{x\cdots}}}}}$ evaluate to?

Confusing pictures about tetration !?

Estimates on growth of $^{n}3$

Integrating $x^{x^x}$

Find the last digits of $a_{2009}$, and of $b_{2009}$.

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