List questions from tetration

Published on 25 Mar 2026 - 12:54

383

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Why tetration and more are not common in nature?

Published on 25 Mar 2026 - 9:26

151

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

Published on 28 Jan 2020 - 17:18

154

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Behaviour and closed forms of iterated functions

Published on 28 Jan 2020 - 23:33

232

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Computation of Digits in Tetration

Published on 31 Jan 2020 - 2:02

709

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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 08 Feb 2020 - 12:11

209

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

Published on 13 Feb 2020 - 17:49

186

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New commutative hyperoperator?

Published on 25 Mar 2026 - 12:12

96

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What will be the domain of this tetration tower?

Published on 19 Feb 2020 - 7:46

256

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

Published on 24 Feb 2020 - 6:53

195

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

Published on 25 Feb 2020 - 3:56

217

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Confusing pictures about tetration !?

Published on 05 Mar 2020 - 19:42

55

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Estimates on growth of $^{n}3$

Published on 25 Mar 2026 - 14:23

285

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Integrating $x^{x^x}$

Published on 30 Mar 2020 - 14:22

81

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

Published on 02 Apr 2020 - 17:47

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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