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New posts in power-towers
What is the derivative of $x!^{x!^{x!^{x!^{x!^{x!^{x!^{.{^{.^{.}}}}}}}}}}$
derivatives
power-towers
computing ${{27^{27}}^{27}}^{27}\pmod {10}$
elementary-number-theory
power-towers
If $x^{x^4}=4$, then what is the value of $x^{x^2}+x^{x^8}$?
power-towers
Number Theory : What are the last three digits of $9^{9^{9^9}}?$
elementary-number-theory
modular-arithmetic
power-towers
Calculating 7^7^7^7^7^7^7 mod 100
number-theory
modular-arithmetic
tetration
power-towers
Convergence of probabilistic power tower $e^{\pm e^{\pm e^{...}}}$
probability
convergence-divergence
power-towers
What's a general algorithm/technique to find the last digit of a nested exponential?
modular-arithmetic
exponentiation
power-towers
Limit involving power tower: $\lim\limits_{n\to\infty} \frac{n+1}n^{\frac n{n-1}^\cdots}$
limits
power-towers
Find the last two digits of $9^{9^{9}}$ [duplicate]
elementary-number-theory
modular-arithmetic
power-towers
How to compute $\,3^{3^{3^{\:\!\phantom{}^{.^{.^.}}}}}\!\!\!\!\bmod 46,$ for power tower height $2020$?
elementary-number-theory
modular-arithmetic
tetration
power-towers
Convergence of power towers
calculus
sequences-and-series
convergence-divergence
asymptotics
power-towers
Solutions of $a^{a^x}=x$ for fixed $a>0$
functions
exponentiation
lambert-w
tetration
power-towers
Integral over domain of infinite tetration of x over extended domain from 0 to $\sqrt[e]e$. Possible $\int_{e^{-e}}^{e^\frac1e} x^{x^{…}}dx$ solution.
real-analysis
definite-integrals
constants
tetration
power-towers
Does the infinite power tower converge for all $0<x<1$
power-towers
Prove or disprove that the function $f(x)=x^{x^{x^{x}}}$ is convex on $(0,1)$
functions
derivatives
power-towers
convexity-inequality
how to integrate $\int\underbrace{x^{x^{\cdot^{\cdot^x}}}}_ndx$
integration
power-towers
What is the maximum convergent $x$ in the power tower $x^{x^{x^{x\cdots}}}$?
convergence-divergence
tetration
power-towers
Explain $x^{x^{x^{{\cdots}}}} = \,\,3$
algebra-precalculus
limits
tetration
power-towers
Fixed Point of $x_{n+1}=i^{x_n}$ [duplicate]
complex-numbers
tetration
power-towers
Integral form(s) of a general tetration/power tower integral solution: $\sum\limits_{n=0}^\infty \frac{(pn+q)^{rn+s}Γ(An+B,Cn+D)}{Γ(an+b,cn+d)}$
integration
gamma-function
tetration
summation-method
power-towers
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