Question

The notion of limsup for sets

score 445 · Answer 1 · 2026-04-12 07:34:57

445

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The notion of limsup for sets

Published on 12 Apr 2026 - 7:34

score 35 · Answer 2 · 2026-04-09 12:52:26

35

Views

A difficulty in understanding the definition for limit superior of ${x_{n}}$

Published on 09 Apr 2026 - 12:52

score 938 · Answer 3 · 2026-04-14 12:20:15

938

Views

Characterization of the epigraph of a lower semi continuous fuction

Published on 14 Apr 2026 - 12:20

score 44 · Answer 4 · 2026-04-17 14:32:12

44

Views

Proof that $\lim \sup_n (a_n + b_n) \in \mathbb{R}$ when $\lim \sup_n a_n \in \mathbb{R}$, $\lim \sup_n b_n \in \mathbb{R}$

Published on 17 Apr 2026 - 14:32

score 73 · Answer 5 · 2026-04-12 20:35:00

73

Views

Minkowski's inequality limes inferior limes superior question

Published on 12 Apr 2026 - 20:35

score 227 · Answer 6 · 2026-04-14 19:40:56

227

Views

Gap in Proof About Subsequence Converging to $\lim \sup a_n$

Published on 14 Apr 2026 - 19:40

score 100 · Answer 7 · 2026-04-17 02:49:00

100

Views

Proving that $\limsup {x_{n}} = \lim_{n \rightarrow \infty} ( \sup _ {m \geq n} x_{m} )$.

Published on 17 Apr 2026 - 2:49

score 1k · Answer 8 · 2026-04-15 18:04:46

1k

Views

Find lim sup and lim inf of $((-1)^n+1)+1/(2^n)$

Published on 15 Apr 2026 - 18:04

score 123 · Answer 9 · 2026-04-10 00:32:07

123

Views

Two definitions of Limit Superior are equivalent

Published on 10 Apr 2026 - 0:32

score 153 · Answer 10 · 2026-04-12 17:16:10

153

Views

Definition of 'liminf' of sequence of sets in terms of indicator functions

Published on 12 Apr 2026 - 17:16

score 142 · Answer 11 · 2026-04-15 17:39:06

142

Views

Help find Lim Sup and Lim Inf of the following sequences:

Published on 15 Apr 2026 - 17:39

score 165 · Answer 12 · 2026-04-16 11:42:13

165

Views

$\overline{\lim} (x_n+y_n)\leq \overline{\lim}x_n+\overline{\lim}y_n$.

Published on 16 Apr 2026 - 11:42

score 92 · Answer 13 · 2026-04-13 06:33:24

92

Views

Queries related to proof of path-connectedness of Toplogist's Sine curve

Published on 13 Apr 2026 - 6:33

score 892 · Answer 14 · 2026-04-14 19:48:27

892

Views

Proving convergence of a bizarre sequence

Published on 14 Apr 2026 - 19:48

score 549 · Answer 15 · 2026-04-17 03:46:04

549

Views

Prove that $\lim_{n \to \infty} \sup (x_n) =\min\{A \in \Bbb{R} : \forall\epsilon>0 \{n \in \mathbb{N}: x_n \geq A+ \epsilon \} $ set is finite}

Published on 17 Apr 2026 - 3:46

List Question

The notion of limsup for sets

A difficulty in understanding the definition for limit superior of ${x_{n}}$

Characterization of the epigraph of a lower semi continuous fuction

Proof that $\lim \sup_n (a_n + b_n) \in \mathbb{R}$ when $\lim \sup_n a_n \in \mathbb{R}$, $\lim \sup_n b_n \in \mathbb{R}$

Minkowski's inequality limes inferior limes superior question

Gap in Proof About Subsequence Converging to $\lim \sup a_n$

Proving that $\limsup {x_{n}} = \lim_{n \rightarrow \infty} ( \sup _ {m \geq n} x_{m} )$.

Find lim sup and lim inf of $((-1)^n+1)+1/(2^n)$

Two definitions of Limit Superior are equivalent

Definition of 'liminf' of sequence of sets in terms of indicator functions

Help find Lim Sup and Lim Inf of the following sequences:

$\overline{\lim} (x_n+y_n)\leq \overline{\lim}x_n+\overline{\lim}y_n$.

Queries related to proof of path-connectedness of Toplogist's Sine curve

Proving convergence of a bizarre sequence

Prove that $\lim_{n \to \infty} \sup (x_n) =\min\{A \in \Bbb{R} : \forall\epsilon>0 \{n \in \mathbb{N}: x_n \geq A+ \epsilon \} $ set is finite}

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