Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 9550

Convergence of series, sequences and functions and different modes of convergence.

3 votes
2 answers
681 views

Repeated logarithm of a power tower

Any closed form known for $\lim \limits_{n \to \infty}\ \underbrace{\log_2 \log_2 \dots \log_2}_n\ \underbrace{3^{3^{\cdot^{\cdot^{3}}}}}_n$? Numerical evidence suggests that it is around $2.44402146 …
12 votes
1 answer
632 views

Integrals of power towers

Let's assume $x\in[0,1]$, and restrict all functions of $x$ that we consider to this domain. Consider a sequence $\mathcal S_n$ of sets of functions, where $n^{\text{th}}$ element is the set of all fu …
Vladimir Reshetnikov's user avatar