Question

Is there a way to state $\limsup_{n\to\infty}{x_n}=x$ using "\forall"

score 139 · Answer 1 · 2019-04-24 10:06:17

139

Views

Is there a way to state $\limsup_{n\to\infty}{x_n}=x$ using "\forall"

Published on 24 Apr 2019 - 10:06

score 28 · Answer 2 · 2019-04-25 09:39:40

28

Views

Asymptotic behaviour of Integrals

Published on 25 Apr 2019 - 9:39

score 148 · Answer 3 · 2019-04-25 13:15:15

148

Views

Show that $\lim \inf x_n$ is an adherence value

Published on 25 Apr 2019 - 13:15

score 257 · Answer 4 · 2019-04-25 17:26:37

257

Views

Prove that $\limsup_{x\to\infty}\left(\cos x + \sin\left(\sqrt2 x\right)\right) = 2$

Published on 25 Apr 2019 - 17:26

score 157 · Answer 5 · 2019-04-26 14:32:51

157

Views

make an exponential curve tend to a specific value

Published on 26 Apr 2019 - 14:32

score 58 · Answer 6 · 2019-04-29 04:04:06

58

Views

When does this sum Convergence?

Published on 29 Apr 2019 - 4:04

score 79 · Answer 7 · 2019-04-30 02:49:50

79

Views

Regarding property of limit supremum of a bounded sequence $(x_{n})$

Published on 30 Apr 2019 - 2:49

score 487 · Answer 8 · 2019-04-30 12:10:33

487

Views

Correctly reading this $\lim \inf ()$ and $\lim \sup()$ expression?

Published on 30 Apr 2019 - 12:10

score 306 · Answer 9 · 2026-03-25 19:03:14

306

Views

nth root of Bernoulli numbers

Published on 25 Mar 2026 - 19:03

score 318 · Answer 10 · 2019-05-05 17:49:56

318

Views

lim inf, lim sup, limit points

Published on 05 May 2019 - 17:49

score 966 · Answer 11 · 2019-05-08 14:30:01

966

Views

Prove that the sequence $\{x_n\}$ diverges to $+\infty$ if and only if $\limsup\limits_{n\to\infty} x_n=\liminf\limits_{n\to\infty} x_n=+\infty$

Published on 08 May 2019 - 14:30

score 617 · Answer 12 · 2019-05-13 15:15:14

617

Views

If a sequence $(u_n)$ be such that its every subsequence has a subsequence that converges to $0$, then $\lim u_n= 0$

Published on 13 May 2019 - 15:15

score 33 · Answer 13 · 2019-05-14 16:50:58

33

Views

Example of sequence with interesting rate of growth

Published on 14 May 2019 - 16:50

score 50 · Answer 14 · 2019-05-21 03:53:31

50

Views

$\liminf_\limits{n\to\infty}1_{A_n}(x)=1$ $\implies$ $\lim_\limits{n\to\infty}1_{A_n}(x)=1$?

Published on 21 May 2019 - 3:53

score 103 · Answer 15 · 2019-05-22 17:33:12

103

Views

Edit: If $\liminf\limits_{n\to\infty}{a_n}>0$ then there exists $a\in \mathbb{R}$ such that $a_n\geq a>0$ for all $n\in \mathbb{N}$

Published on 22 May 2019 - 17:33

List Question

Is there a way to state $\limsup_{n\to\infty}{x_n}=x$ using "\forall"

Asymptotic behaviour of Integrals

Show that $\lim \inf x_n$ is an adherence value

Prove that $\limsup_{x\to\infty}\left(\cos x + \sin\left(\sqrt2 x\right)\right) = 2$

make an exponential curve tend to a specific value

When does this sum Convergence?

Regarding property of limit supremum of a bounded sequence $(x_{n})$

Correctly reading this $\lim \inf ()$ and $\lim \sup()$ expression?

nth root of Bernoulli numbers

lim inf, lim sup, limit points

Prove that the sequence $\{x_n\}$ diverges to $+\infty$ if and only if $\limsup\limits_{n\to\infty} x_n=\liminf\limits_{n\to\infty} x_n=+\infty$

If a sequence $(u_n)$ be such that its every subsequence has a subsequence that converges to $0$, then $\lim u_n= 0$

Example of sequence with interesting rate of growth

$\liminf_\limits{n\to\infty}1_{A_n}(x)=1$ $\implies$ $\lim_\limits{n\to\infty}1_{A_n}(x)=1$?

Edit: If $\liminf\limits_{n\to\infty}{a_n}>0$ then there exists $a\in \mathbb{R}$ such that $a_n\geq a>0$ for all $n\in \mathbb{N}$

Trending Questions

Popular # Hahtags

Popular Questions