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New posts in power-towers
Area under $x^{-x}$ over its real domain. What is another non-integral form of $\int_{\Bbb R^+}x^{-x}dx$?
area
alternative-proof
constants
tetration
power-towers
Do the last digits of exponential towers really converge to a fixed sequence?
number-theory
modular-arithmetic
tetration
power-towers
Convergence of $a_n=(1/2)^{(1/3)^{...^{(1/n)}}}$
sequences-and-series
power-towers
Prove that $2^{2^{\sqrt3}}>10$
inequality
contest-math
approximation
power-towers
Seems that I just proved $2=4$.
fake-proofs
paradoxes
tetration
power-towers
What is the derivative of ${}^xx$
derivatives
tetration
power-towers
Last few digits of $n^{n^{n^{\cdot^{\cdot^{\cdot^n}}}}}$
number-theory
elementary-number-theory
tetration
power-towers
What is wrong with this funny proof that 2 = 4 using infinite exponentiation?
calculus
algebra-precalculus
exponentiation
fake-proofs
power-towers
What is the derivative of: $f(x)=x^{2x^{3x^{4x^{5x^{6x^{7x^{.{^{.^{.}}}}}}}}}}$?
calculus
functions
derivatives
power-towers
An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
algebra-precalculus
tetration
power-towers
Which is bigger: $9^{9^{9^{9^{9^{9^{9^{9^{9^{9}}}}}}}}}$ or $9!!!!!!!!!$?
inequality
recreational-mathematics
factorial
big-numbers
power-towers
A new interesting pattern to $i\uparrow\uparrow n$ that looks cool (and $z\uparrow\uparrow x$ for $z\in\mathbb C,x\in\mathbb R$)
algebra-precalculus
complex-numbers
recreational-mathematics
tetration
power-towers
How many values of $2^{2^{2^{.^{.^{.^{2}}}}}}$ depending on parenthesis?
combinatorics
elementary-number-theory
recurrence-relations
power-towers
Are these solutions of $2 = x^{x^{x^{\:\cdot^{\:\cdot^{\:\cdot}}}}}$ correct?
complex-numbers
roots
exponentiation
tetration
power-towers
Complexity class of comparison of power towers
number-theory
algorithms
computational-complexity
exponentiation
power-towers
Can $x^{x^{x^x}}$ be a rational number?
number-theory
transcendental-numbers
tetration
power-towers
rationality-testing
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