Question

How to compute and think intuitively about $\limsup$ and $\liminf$ of the below function?

score 75 · Answer 1 · 2021-01-09 17:24:32

75

Views

How to compute and think intuitively about $\limsup$ and $\liminf$ of the below function?

Published on 09 Jan 2021 - 17:24

score 433 · Answer 2 · 2021-01-10 13:43:45

433

Views

Difference between lim and lim sup of a function with a so called "blow up"?

Published on 10 Jan 2021 - 13:43

score 44 · Answer 3 · 2021-01-16 18:12:05

44

Views

Does this liminf characterization hold true?

Published on 16 Jan 2021 - 18:12

score 50 · Answer 4 · 2026-03-25 12:48:59

50

Views

Convergence of signed measures implies inequality between variations

Published on 25 Mar 2026 - 12:48

score 82 · Answer 5 · 2021-01-22 21:10:50

82

Views

For $0 \leq a_n, b_n$: Is $\varliminf a_n \varlimsup b_n \leq \varlimsup a_n b_n $ true?

Published on 22 Jan 2021 - 21:10

score 148 · Answer 6 · 2021-01-27 06:19:32

148

Views

Showing a biconditional statement about function lim sups in $\Bbb R^n$, and codifying the intuition into a proof

Published on 27 Jan 2021 - 6:19

score 41 · Answer 7 · 2021-01-31 22:29:14

41

Views

Prove $\sup\{r\geq 0: \exists M\in\mathbb{R}[\forall n\in \mathbb{N} [\, |r^n a_n|<M\ ]] \}= \sup \{ r\geq 0 :\sum_n |r^n a_n| \in \mathbb{R} \}$

Published on 31 Jan 2021 - 22:29

score 52 · Answer 8 · 2021-02-04 05:28:13

52

Views

Find the radius of convergence of $\sum_{n=1}^\infty (\frac{5n^3+2n^2}{3n^3+2n})z^n$

Published on 04 Feb 2021 - 5:28

score 63 · Answer 9 · 2021-02-04 13:39:21

63

Views

Non-convergence of a sequence implies 'consecutive' partial limits

Published on 04 Feb 2021 - 13:39

score 108 · Answer 10 · 2021-02-04 19:15:24

108

Views

Proof of $\varliminf a_n + \varlimsup b_n \leq \varlimsup (a_n + b_n) $ using the subsequential definition

Published on 04 Feb 2021 - 19:15

score 62 · Answer 11 · 2021-02-05 22:17:16

62

Views

Why did they take the limsup and not the limit

Published on 05 Feb 2021 - 22:17

score 57 · Answer 12 · 2021-02-08 18:30:37

57

Views

Find limit definitions manually (without WolframAlpha)

Published on 08 Feb 2021 - 18:30

score 66 · Answer 13 · 2021-02-09 01:55:47

66

Views

Compute $\lim_{n\to \infty} \sup A_{n}$ and $\lim_{n\to \infty} \inf A_{n}$, where $A_{n} = [0,a_{n}]$

Published on 09 Feb 2021 - 1:55

score 90 · Answer 14 · 2021-02-10 14:47:18

90

Views

Finding all cluster points of a sequence and proving it rigorously

Published on 10 Feb 2021 - 14:47

score 119 · Answer 15 · 2021-02-12 10:35:59

119

Views

Alternative proof of generalized Borel-Cantelli without the use of the finite increment martingale limit property

Published on 12 Feb 2021 - 10:35

List Question

How to compute and think intuitively about $\limsup$ and $\liminf$ of the below function?

Difference between lim and lim sup of a function with a so called "blow up"?

Does this liminf characterization hold true?

Convergence of signed measures implies inequality between variations

For $0 \leq a_n, b_n$: Is $\varliminf a_n \varlimsup b_n \leq \varlimsup a_n b_n $ true?

Showing a biconditional statement about function lim sups in $\Bbb R^n$, and codifying the intuition into a proof

Prove $\sup\{r\geq 0: \exists M\in\mathbb{R}[\forall n\in \mathbb{N} [\, |r^n a_n|<M\ ]] \}= \sup \{ r\geq 0 :\sum_n |r^n a_n| \in \mathbb{R} \}$

Find the radius of convergence of $\sum_{n=1}^\infty (\frac{5n^3+2n^2}{3n^3+2n})z^n$

Non-convergence of a sequence implies 'consecutive' partial limits

Proof of $\varliminf a_n + \varlimsup b_n \leq \varlimsup (a_n + b_n) $ using the subsequential definition

Why did they take the limsup and not the limit

Find limit definitions manually (without WolframAlpha)

Compute $\lim_{n\to \infty} \sup A_{n}$ and $\lim_{n\to \infty} \inf A_{n}$, where $A_{n} = [0,a_{n}]$

Finding all cluster points of a sequence and proving it rigorously

Alternative proof of generalized Borel-Cantelli without the use of the finite increment martingale limit property

Trending Questions

Popular # Hahtags

Popular Questions