Infinite tetration and superroot of infinitesimal

The infinite super-root is just srt ∞ ( x ) = x 1 / x , and lim x → 0 x 1 / x = 0 which may answer your question. The 2nd super-root (sometimes called the super ...

Infinite tetration and superroot of infinitesimal - Tetration Forum

Ivars Wrote: Barrow said (not exact quote): if x^x=1/2 has no solutions in real and complex numbers, it may lead to creation of new numbers just to fill ...

Tetration - Wikipedia

The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions. None of the three functions ...

How to approximate infinite tetration - Quora

You've already given the “exact” formula [math]{}^{\infty}z = \frac{W( -\ln z)}{- \ln z}[/math] To approximate this value numerically, ...

Infinite tetration of rad2 = 2 [tetration] - YouTube

Infinite tetration of rad2 = 2 [tetration] · Comments568.

Tetration | Googology Wiki - Fandom

... infinite tetration, defined as. \[^\infty x = \lim_{n\rightarrow\infty ... Complex Projective 4-Space. ↑ https://en.wikipedia.org/wiki/Tetration#Super-root ...

Infinite tetration function : r/desmos - Reddit

Wow! This is super cool. I might try to see if I can discover this function myself. How complex of math is used to derive the formula?

Infinite PowerTowers of Sqrt 2 || Tetration @TheMathScholar23

Math with fun. Hello My Dear Family I hope you all are well . . . France Math Olympiad | Calculator Not Allowed!

How does one prove that the infinite tetration of [math]\sqrt{2 ... - Quora

By "infinite tetration", I'm going to assume you mean the limit of the sequence [math]a_0=1[/math], [math]a_{n+1} = \sqrt{2}^{a_n}[/math].

The Mysterious Spiral of The Infinity Tetration - YouTube

This is a re-upload because my previous video uses a piece of music that is copyrighted.

Infinite tetration, convergence radius - Math Stack Exchange

First, I would recommend reading "Exponentials Reiterated" by R.A.Knoebel, ...

The tetration of sqrt(2) : r/math - Reddit

Interestingly, infinite tetration only has a domain of [1/ee , e1/e ]. Here's a relevant Wikipedia Article.

Solving Infinite Power Tower Equation: Can we find a solution?

referred to as Tetration or SuperExponentiation or infinite left exponent. Repeated exponentiation in infinite power towers has a limited ...

The strange properties of the infinite power tower - arXiv

In this article we investigate some ”unexpected” properties of the “Infinite Power Tower1” function (or “Tetration with infinite height”): y = f ...

An Infinite Tower of Exponents with sqrt(2) - YouTube

Comments167 ; A Polynomial Functional System of Equations. SyberMath · 20K views ; A Calculus Problem On A Curve · 1.9K views ; Infinite tetration of ...

What is the value of the infinite tetration of √2? - YouTube

The Maths Studio (themathsstudio.net) It so happens that the infinite tetration x[4]∞ converges for values of x between e^(-e) and e^(1/e) ...

Does $y=\lim_{n\to\infty}x\uparrow\uparrow n-f(x,n)$ have a root at $2

The infinite power tower doesn't hold for x>e√e, which means we might have to do this some harder way... limits · roots · factorial · tetration · power-towers.

An Awesome Infinite Tetration Stack.... #shorts - YouTube

Check out the full episode on my main channel here: https://www.youtube.com/watch?v=eVRJLD0HJcE&t=1s #tetration #powertower #exponents ...

Tetration Forum - Mathematical and General Discussion

Go to first unread post Infinite tetration and superroot of infinitesimal (Pages: 1 2 3 4 ... 13 ). Ivars, 12/16/2007, 06:02 PM. 129, 266,209, 06/18/2022, 11:56 ...

(PDF) The Problem of the Infinite Exponential - ResearchGate

Euler proved the following theorem: Theorem 1.3 The sequence αnconverges if and only if x∈ e−e, ee−1 . ... metic operator of exponentiation, which is the most “ ...