Question

Finding a sequence satisfing this $\liminf$ equation

score 22 · Answer 1 · 2022-02-03 10:59:04

22

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Finding a sequence satisfing this $\liminf$ equation

Published on 03 Feb 2022 - 10:59

score 74 · Answer 2 · 2022-02-07 23:10:27

74

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Statements True or False? Real Analysis

Published on 07 Feb 2022 - 23:10

score 66 · Answer 3 · 2022-02-13 10:50:26

66

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What is the superior limit of this sequence?

Published on 13 Feb 2022 - 10:50

score 144 · Answer 4 · 2022-02-18 05:48:11

144

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Limit of flipping coins with $\limsup_{n\rightarrow\infty}\frac{N_n}{\log n}=\frac{1}{\log 2}$

Published on 18 Feb 2022 - 5:48

score 77 · Answer 5 · 2022-02-20 12:22:49

77

Views

Whether the formula $\limsup\frac{\max\{x_1, x_2,...,x_n\}}{a_n}=\limsup\frac{x_n}{a_n}$ holds?

Published on 20 Feb 2022 - 12:22

score 82 · Answer 6 · 2022-02-21 06:37:40

82

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Find $\liminf _{n \to \infty}A_n $ and $\limsup_{n \to \infty}A_n $

Published on 21 Feb 2022 - 6:37

score 181 · Answer 7 · 2022-02-21 15:53:47

181

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"Properties" of the definitions of limit superior and inferior

Published on 21 Feb 2022 - 15:53

score 63 · Answer 8 · 2026-02-23 06:18:37

63

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set limits, lim sup and lim inf

Published on 23 Feb 2026 - 6:18

score 125 · Answer 9 · 2022-03-03 20:36:53

125

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Minimal assumption on points of discontinuity of $f$ so that $\liminf_{\epsilon \to \infty} \frac{f(x)}{f(x+\frac{t}{\epsilon} )}=1$

Published on 03 Mar 2022 - 20:36

score 35 · Answer 10 · 2022-03-05 09:04:38

35

Views

Positive Measure of Limsup of Subsequence

Published on 05 Mar 2022 - 9:04

score 58 · Answer 11 · 2026-03-28 00:05:59

58

Views

Can we use power mean to generalize min and max for complex numbers?

Published on 28 Mar 2026 - 0:05

score 59 · Answer 12 · 2022-03-16 12:39:54

59

Views

How $\limsup_{n\to\infty}\left[\frac{a_n}{n^\varepsilon}\right]^{1/\log\log n}=e^{1+\varepsilon}\implies a_n=O(n^\varepsilon\log^{1+\varepsilon}n)$?

Published on 16 Mar 2022 - 12:39

score 39 · Answer 13 · 2022-03-17 03:50:49

39

Views

Changing limit and sup

Published on 17 Mar 2022 - 3:50

score 34 · Answer 14 · 2022-03-28 13:47:15

34

Views

$\limsup_{x \to \infty} f(x) < 0 \implies \exists c,K>0$ s.t. $x > K \Rightarrow f(x) < -c$?

Published on 28 Mar 2022 - 13:47

score 75 · Answer 15 · 2022-03-30 20:11:09

75

Views

Proving $ 2xf(x)+g(x)^2 \leq M(1+\vert x \vert^2) $

Published on 30 Mar 2022 - 20:11

List Question

Finding a sequence satisfing this $\liminf$ equation

Statements True or False? Real Analysis

What is the superior limit of this sequence?

Limit of flipping coins with $\limsup_{n\rightarrow\infty}\frac{N_n}{\log n}=\frac{1}{\log 2}$

Whether the formula $\limsup\frac{\max\{x_1, x_2,...,x_n\}}{a_n}=\limsup\frac{x_n}{a_n}$ holds?

Find $\liminf _{n \to \infty}A_n $ and $\limsup_{n \to \infty}A_n $

"Properties" of the definitions of limit superior and inferior

set limits, lim sup and lim inf

Minimal assumption on points of discontinuity of $f$ so that $\liminf_{\epsilon \to \infty} \frac{f(x)}{f(x+\frac{t}{\epsilon} )}=1$

Positive Measure of Limsup of Subsequence

Can we use power mean to generalize min and max for complex numbers?

How $\limsup_{n\to\infty}\left[\frac{a_n}{n^\varepsilon}\right]^{1/\log\log n}=e^{1+\varepsilon}\implies a_n=O(n^\varepsilon\log^{1+\varepsilon}n)$?

Changing limit and sup

$\limsup_{x \to \infty} f(x) < 0 \implies \exists c,K>0$ s.t. $x > K \Rightarrow f(x) < -c$?

Proving $ 2xf(x)+g(x)^2 \leq M(1+\vert x \vert^2) $

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