Question

Proof/Answer Verification: LimSup And LimInf

score 1.7k · Answer 1 · 2026-05-06 19:04:55

1.7k

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Proof/Answer Verification: LimSup And LimInf

Published on 06 May 2026 - 19:04

score 91 · Answer 2 · 2026-05-07 07:41:01

91

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A question about probability space related to independent events

Published on 07 May 2026 - 7:41

score 51 · Answer 3 · 2026-05-06 19:05:33

51

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Upper bound for limsup

Published on 06 May 2026 - 19:05

score 120 · Answer 4 · 2026-04-11 08:41:33

120

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Finding limit supremum

Published on 11 Apr 2026 - 8:41

score 179 · Answer 5 · 2026-05-06 19:04:53

179

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How to prove that $\lim\limits_{n\to \infty}a_{n+1}=\lim\limits_{n\to \infty}a_{n}$

Published on 06 May 2026 - 19:04

score 62 · Answer 6 · 2026-05-06 19:05:07

Question about the proof of $\liminf_{n\rightarrow\infty}(a_{n})+\liminf_{n\rightarrow\infty}(b_{n})\leq\liminf_{n\rightarrow\infty}(a_{n}+b_{n})$

score 1.1k · Answer 7 · 2026-05-06 19:05:19

1.1k

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Theorem 3.4.11 in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Limit superior and limit inferior of a bounded sequence of real numbers

Published on 06 May 2026 - 19:05

score 52 · Answer 8 · 2026-04-15 18:00:29

52

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If $\limsup_{n} P^n(x,C) \le 1-\epsilon$ then the average of the transition probabilities cannot be tight.

Published on 15 Apr 2026 - 18:00

score 409 · Answer 9 · 2026-05-06 19:05:09

409

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When is the product of limsups equal to the limsup of the products?

Published on 06 May 2026 - 19:05

score 585 · Answer 10 · 2026-05-06 19:05:09

585

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Is there a condition to characterize when limsup is additive?

Published on 06 May 2026 - 19:05

score 58 · Answer 11 · 2026-05-06 19:05:31

58

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Is it true that $(A_n)_n \to A \implies (A_{k_n})_n \to A$?

Published on 06 May 2026 - 19:05

score 28 · Answer 12 · 2026-05-06 19:05:31

28

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Is it true that $A_n \to A \iff A_{n+p} \to A$ for $p \in \mathbb{N}$

Published on 06 May 2026 - 19:05

score 217 · Answer 13 · 2026-05-06 19:05:09

217

Views

Independent sequence of random variables such that each random variable has the Bernoulli distribution.

Published on 06 May 2026 - 19:05

score 331 · Answer 14 · 2026-04-11 02:08:51

331

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How a Definite Integral can have the same value as just of one of the points of the integration interval?

Published on 11 Apr 2026 - 2:08

score 61 · Answer 15 · 2026-05-06 19:04:53

61

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If $a_n \le b_n \le a_{n+1}$ prove that $\overline{\lim}_{n \to \infty} a_n=\overline{\lim}_{n \to \infty} b_n$

Published on 06 May 2026 - 19:04

List Question

Proof/Answer Verification: LimSup And LimInf

A question about probability space related to independent events

Upper bound for limsup

Finding limit supremum

How to prove that $\lim\limits_{n\to \infty}a_{n+1}=\lim\limits_{n\to \infty}a_{n}$

Question about the proof of $\liminf_{n\rightarrow\infty}(a_{n})+\liminf_{n\rightarrow\infty}(b_{n})\leq\liminf_{n\rightarrow\infty}(a_{n}+b_{n})$

Theorem 3.4.11 in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Limit superior and limit inferior of a bounded sequence of real numbers

If $\limsup_{n} P^n(x,C) \le 1-\epsilon$ then the average of the transition probabilities cannot be tight.

When is the product of limsups equal to the limsup of the products?

Is there a condition to characterize when limsup is additive?

Is it true that $(A_n)_n \to A \implies (A_{k_n})_n \to A$?

Is it true that $A_n \to A \iff A_{n+p} \to A$ for $p \in \mathbb{N}$

Independent sequence of random variables such that each random variable has the Bernoulli distribution.

How a Definite Integral can have the same value as just of one of the points of the integration interval?

If $a_n \le b_n \le a_{n+1}$ prove that $\overline{\lim}_{n \to \infty} a_n=\overline{\lim}_{n \to \infty} b_n$

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