List questions from limsup-and-liminf

Published on 31 Oct 2014 - 10:45

178

Views

How to prove that lim sup $a_{n} \leq b$

Published on 17 Nov 2014 - 19:21

112

Views

Operator which is invariant in terms of left shift

Published on 19 Nov 2014 - 22:49

500

Views

How can I prove that a sequence such that every converging subsequence coverges to the same limit, converges?

Published on 20 Nov 2014 - 20:40

63

Views

Prove that if lim sup$_{n} n^{2}a_{n} = 0 \Rightarrow \sum_{k = 1}^{\infty} a_{k}$ converges

Published on 21 Nov 2014 - 6:59

862

Views

properties of partial sums of series $\sum \sin(n)$

Published on 23 Nov 2014 - 16:26

1.5k

Views

Finding limits superior and inferior of a sequence

Published on 24 Nov 2014 - 15:30

342

Views

For $s_n$ a sequence in $\Bbb R$, if $\lim s_n$ defined as a real number, then $\liminf s_n = \lim s_n = \limsup s_n$.

Published on 25 Nov 2014 - 0:00

5.2k

Views

Prove $\liminf a_n + \liminf b_n\le \liminf (a_n +b_n) $

Published on 25 Nov 2014 - 12:18

2.3k

Views

Show every bounded infinite set has a maximum limit point and a minimum limit point.

Published on 28 Nov 2014 - 20:30

48

Views

$\text{limsup}|a_n|^{1/n}\geq \text{limsup}|a_{2n}|^{1/n} $

Published on 30 Nov 2014 - 12:12

1.5k

Views

limsup of average smaller than limsup

Published on 03 Dec 2014 - 13:24

118

Views

Limit based on bounds

Published on 04 Dec 2014 - 23:30

222

Views

limsup of fraction ratio to limsup of the square of ratio

Published on 05 Dec 2014 - 18:31

84

Views

confusing definition of lim sup

Published on 07 Dec 2014 - 8:50

List Question

A question corcerning limsups and liminfs of sets

How to prove that lim sup $a_{n} \leq b$

Operator which is invariant in terms of left shift

How can I prove that a sequence such that every converging subsequence coverges to the same limit, converges?

Prove that if lim sup$_{n} n^{2}a_{n} = 0 \Rightarrow \sum_{k = 1}^{\infty} a_{k}$ converges

properties of partial sums of series $\sum \sin(n)$

Finding limits superior and inferior of a sequence

For $s_n$ a sequence in $\Bbb R$, if $\lim s_n$ defined as a real number, then $\liminf s_n = \lim s_n = \limsup s_n$.

Prove $\liminf a_n + \liminf b_n\le \liminf (a_n +b_n) $

Show every bounded infinite set has a maximum limit point and a minimum limit point.

$\text{limsup}|a_n|^{1/n}\geq \text{limsup}|a_{2n}|^{1/n} $

limsup of average smaller than limsup

Limit based on bounds

limsup of fraction ratio to limsup of the square of ratio

confusing definition of lim sup

Trending Questions

Popular # Hahtags

Popular Questions