Question

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

score 203 · Answer 1 · 2019-11-09 23:21:51

203

Views

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

Published on 09 Nov 2019 - 23:21

score 77 · Answer 2 · 2026-03-25 14:26:01

77

Views

For which values of reals $ a$ and $ x$ this:${x}^{x^{x^{x^...}}}=a$ could be work?

Published on 25 Mar 2026 - 14:26

score 120 · Answer 3 · 2019-12-01 09:03:37

120

Views

Prove $c,c^c,c^{c^c},c^{c^{c^c}},\ldots \pmod p$ with $p$ prime has period $1$ or $2$

Published on 01 Dec 2019 - 9:03

score 295 · Answer 4 · 2019-12-02 14:19:44

295

Views

Is $\infty$ the solution to ${x}^{{x}^{{x}^{{x}^{x\dots}}}} = i$?

Published on 02 Dec 2019 - 14:19

score 359 · Answer 5 · 2019-12-02 15:40:20

359

Views

How to express the infinite power tower $a^{{{{{{(a+1)}^{(a+2)}}^{(a+3)}}^{.}}^{.}}^{.}}$?

Published on 02 Dec 2019 - 15:40

score 56 · Answer 6 · 2019-12-07 08:57:25

56

Views

How to find the maximum arc length of ${^{\infty}x}+{^{\infty}y}={^{\infty}r}$ and the value of $r$ at which it occurs?

Published on 07 Dec 2019 - 8:57

score 254 · Answer 7 · 2019-12-12 14:34:54

254

Views

Rightmost decimal digits of Graham's number

Published on 12 Dec 2019 - 14:34

score 57 · Answer 8 · 2019-12-16 05:01:38

57

Views

Tetrating by non-integers?

Published on 16 Dec 2019 - 5:01

score 120 · Answer 9 · 2019-12-17 14:32:18

120

Views

Find the maximum of $x^{x^{x^{⋰}}}.$

Published on 17 Dec 2019 - 14:32

score 298 · Answer 10 · 2019-12-21 20:43:41

298

Views

Find $\lim_{x\rightarrow 0}x^{x^{x^x}}$

Published on 21 Dec 2019 - 20:43

score 58 · Answer 11 · 2019-12-22 16:54:42

58

Views

How can I find the value of a non-repeating exponent tower?

Published on 22 Dec 2019 - 16:54

score 142 · Answer 12 · 2019-12-26 00:05:40

142

Views

Numerical instability of an extended tetration

Published on 26 Dec 2019 - 0:05

score 55 · Answer 13 · 2026-03-25 14:18:38

55

Views

Non integer Hyper-powers.

Published on 25 Mar 2026 - 14:18

score 174 · Answer 14 · 2019-12-26 16:33:33

174

Views

Verifying tetration properties

Published on 26 Dec 2019 - 16:33

score 86 · Answer 15 · 2019-12-27 11:24:44

86

Views

2 different limits for $x^x$ - Could they somehow be applied?

Published on 27 Dec 2019 - 11:24

List Question

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

For which values of reals $ a$ and $ x$ this:${x}^{x^{x^{x^...}}}=a$ could be work?

Prove $c,c^c,c^{c^c},c^{c^{c^c}},\ldots \pmod p$ with $p$ prime has period $1$ or $2$

Is $\infty$ the solution to ${x}^{{x}^{{x}^{{x}^{x\dots}}}} = i$?

How to express the infinite power tower $a^{{{{{{(a+1)}^{(a+2)}}^{(a+3)}}^{.}}^{.}}^{.}}$?

How to find the maximum arc length of ${^{\infty}x}+{^{\infty}y}={^{\infty}r}$ and the value of $r$ at which it occurs?

Rightmost decimal digits of Graham's number

Tetrating by non-integers?

Find the maximum of $x^{x^{x^{⋰}}}.$

Find $\lim_{x\rightarrow 0}x^{x^{x^x}}$

How can I find the value of a non-repeating exponent tower?

Numerical instability of an extended tetration

Non integer Hyper-powers.

Verifying tetration properties

2 different limits for $x^x$ - Could they somehow be applied?

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