Indicator function of limsup
68913
Proving that $1_{\limsup A_n}=\limsup1_{A_n}$.
32744
A clarification in a limit
136384
Inequality concerning limsup and liminf of Cesaro mean of a sequence
120676
A certain element which makes functionals positive
22804
Interpretation of limsup-liminf of sets
52712
Sequence converges iff $\limsup = \liminf$
19823
Inequality involving $\limsup$ and $\liminf$: $ \liminf(a_{n+1}/a_n) \le \liminf((a_n)^{(1/n)}) \le \limsup((a_n)^{(1/n)}) \le \limsup(a_{n+1}/a_n)$
69103
$\limsup$ and cluster points
29583
Characterization of the trace function
63023
Evaluation of $\lim_{x\rightarrow \infty}\sqrt{x^2+x+1} -\lfloor \sqrt{x^2+x+1 }\rfloor\;,$
62377
max and min versus sup and inf
52154
Log-like operator with math inside (e.g. p-lim)
79307
How to analyze $\sup_{x>0}|e^xf(x)| < \infty$ and $\sup_{n\in\mathbb{N}} |f^{(n)}(0)|< \infty$?
116811
Proofs with limit superior and limit inferior: $\liminf a_n \leq \limsup a_n$
82745
Showing Entire Function is Bounded
47820
How can I show a supremum of a set is also its limit point?
125821
Evaluating limits at positive and negative infinity