List questions from limsup-and-liminf

Published on 14 Apr 2014 - 18:13

67

Views

Show that $\liminf\limits_{n\rightarrow\infty}a_{n}/a_{n-k}\leq \liminf\limits_{n\rightarrow\infty}a_{n}^{k/n}$

Published on 15 Apr 2014 - 14:37

1.4k

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relations between the root test and the ratio test

Published on 18 Apr 2014 - 9:21

358

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$\limsup$ of series

Published on 19 Apr 2014 - 2:33

1.3k

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Product of lim sups

Published on 24 Apr 2014 - 22:50

37

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Is this limsup calculation correct?

Published on 27 Apr 2014 - 20:12

4.7k

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Prove that limsup is the supremum of the limit points

Published on 27 Apr 2014 - 20:36

148

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Counterexample for limsup

Published on 28 Apr 2014 - 3:55

216

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Limit superior and limit of a sequence

Published on 28 Apr 2014 - 16:52

679

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$\limsup s_n = \infty$, $\liminf t_n >0$, prove that $\limsup s_n t_n = \infty$

Published on 30 Apr 2014 - 23:43

1.1k

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Product of Limitsuperior of bounded sequences

Published on 01 May 2014 - 2:34

2.4k

Views

Characterization of lim sup, lim inf

Published on 02 May 2014 - 21:02

245

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What does $\liminf_{n\to \infty} f_n$ and $\limsup_{n\to \infty} f_n$ mean?

Published on 03 May 2014 - 19:08

509

Views

Complex analysis problem, using limsup

Published on 12 May 2014 - 19:31

48

Views

updated: lim inf, lim sup and bertrand's postulate for a function

Published on 18 May 2014 - 20:18

List Question

radius of symmetric random walk on $\mathbb{Z}$

Show that $\liminf\limits_{n\rightarrow\infty}a_{n}/a_{n-k}\leq \liminf\limits_{n\rightarrow\infty}a_{n}^{k/n}$

relations between the root test and the ratio test

$\limsup$ of series

Product of lim sups

Is this limsup calculation correct?

Prove that limsup is the supremum of the limit points

Counterexample for limsup

Limit superior and limit of a sequence

$\limsup s_n = \infty$, $\liminf t_n >0$, prove that $\limsup s_n t_n = \infty$

Product of Limitsuperior of bounded sequences

Characterization of lim sup, lim inf

What does $\liminf_{n\to \infty} f_n$ and $\limsup_{n\to \infty} f_n$ mean?

Complex analysis problem, using limsup

updated: lim inf, lim sup and bertrand's postulate for a function

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