Tagged Questions
2
votes
4answers
233 views
a tetration limit for base $a > e^{1/e}$
Let $a$ be a real number with $a > e^{1/e}$ and $a <> e$.
$slog$ means superlog base $e$ and $sexp$ means superexp base $e$.
$sloga$ means superlog with base $a$ and $sexpa$ means superexp ...
1
vote
5answers
146 views
Limit of a recursively defined bivariate function.
Let m and n be positive integers.
Let $f(m,0)=m$
Let $f(m,n)= e \ln(f(m,n-1))$
$$\lim_{m\to\infty} \ln(m)\Big(f(m,\lfloor\ln m\rfloor)) - e\Big) = 163^{1/3}+C$$
Where $C$ is a constant.
It seems ...
