List questions from limsup-and-liminf

Published on 03 Apr 2026 - 18:09

82

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I need show cases 1 and 2

Published on 13 Nov 2017 - 10:51

98

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Weak convergence in $L^2$

Published on 13 Nov 2017 - 15:40

378

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$\limsup$ and $\liminf$ of an open Ball in $\mathbb{R}^2$

Published on 13 Nov 2017 - 17:58

157

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Is $\limsup \left(|a_n|^{1/n}\right)=\limsup \left(|a_n|^{1/(n-1)}\right)$?

Published on 15 Nov 2017 - 5:15

100

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$f_n \geq f $ a.e implies $\Longrightarrow \int _X \lim \inf f_n d \mu\leq \lim \inf \int _X f_n d\mu$

Published on 17 Nov 2017 - 20:18

209

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Clarification on a definition of limsup

Published on 20 Nov 2017 - 18:18

768

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Theorem 3.54 Baby Rudin (Riemann's Series Theorem)

Published on 25 Mar 2026 - 21:22

99

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Is it possible to compute $\limsup_{n\to\infty}\frac{1}{n}\log\left(\frac{c\cdot\lambda^{2k}}{3^n}\sum_{m=0}^{2n}C(n,m)\cdot\lambda^m\right)$?

Published on 24 Nov 2017 - 15:26

70

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Computing $\limsup_{n\to\infty}\frac{1}{n}\log\left(\frac{1}{3^n}\sum_{m=0}^{2n}I_n(m)\lambda^m\right)$

Published on 24 Nov 2017 - 21:56

670

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Equality for limit superior: $\limsup_{n\to\infty}(a_n+b_n)=\lim_{n\to\infty}a_n+\limsup_{n\to\infty}b_n$

Published on 26 Nov 2017 - 22:30

53

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Need help understanding why by proving that $\alpha\le L_{1}$ it means that $\alpha\le L$

Published on 27 Nov 2017 - 9:36

61

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Set of points where limsup x+ < limsup x- do not agree is countable

Published on 29 Nov 2017 - 13:03

42

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Problem extending the notions of convergence.

Published on 30 Nov 2017 - 16:57

202

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Ratio test using limit superior and inferior

Published on 30 Nov 2017 - 23:51

List Question

random 2-dimensional vectors, $X_n$ is uniformly distributed

I need show cases 1 and 2

Weak convergence in $L^2$

$\limsup$ and $\liminf$ of an open Ball in $\mathbb{R}^2$

Is $\limsup \left(|a_n|^{1/n}\right)=\limsup \left(|a_n|^{1/(n-1)}\right)$?

$f_n \geq f $ a.e implies $\Longrightarrow \int _X \lim \inf f_n d \mu\leq \lim \inf \int _X f_n d\mu$

Clarification on a definition of limsup

Theorem 3.54 Baby Rudin (Riemann's Series Theorem)

Is it possible to compute $\limsup_{n\to\infty}\frac{1}{n}\log\left(\frac{c\cdot\lambda^{2k}}{3^n}\sum_{m=0}^{2n}C(n,m)\cdot\lambda^m\right)$?

Computing $\limsup_{n\to\infty}\frac{1}{n}\log\left(\frac{1}{3^n}\sum_{m=0}^{2n}I_n(m)\lambda^m\right)$

Equality for limit superior: $\limsup_{n\to\infty}(a_n+b_n)=\lim_{n\to\infty}a_n+\limsup_{n\to\infty}b_n$

Need help understanding why by proving that $\alpha\le L_{1}$ it means that $\alpha\le L$

Set of points where limsup x+ < limsup x- do not agree is countable

Problem extending the notions of convergence.

Ratio test using limit superior and inferior

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