Question

Show that $S=\operatorname{span}\{v^{(i,j)},\;1\leq i\neq j\leq n\}.$

score 27 · Answer 1 · 2018-08-03 20:44:00

27

Views

Show that $S=\operatorname{span}\{v^{(i,j)},\;1\leq i\neq j\leq n\}.$

Published on 03 Aug 2018 - 20:44

score 214 · Answer 2 · 2026-03-19 15:32:08

214

Views

Does an integral inequality imply a pointwise inequality?

Published on 19 Mar 2026 - 15:32

score 1.3k · Answer 3 · 2026-03-25 01:17:46

1.3k

Views

Proving lim sup of a sequence of measurable functions is measurable

Published on 25 Mar 2026 - 1:17

score 106 · Answer 4 · 2018-08-11 09:13:06

106

Views

Prove that if $f$ differentiable in $x^$ and $f(x^)=0$, then $\liminf_{x\to x^}\frac{|f(x)|}{||x-x^||}=0$ if $n>1$

Published on 11 Aug 2018 - 9:13

score 446 · Answer 5 · 2018-08-13 15:30:21

446

Views

Given that $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n=e$, show that $1+\frac{1}{1!}+\frac{1}{2!}+\cdots=e$.

Published on 13 Aug 2018 - 15:30

score 141 · Answer 6 · 2018-08-16 00:31:38

141

Views

Is $\limsup |C_n|^{\frac{1}{n}} = \limsup |C_{n+j}|^{\frac{1}{n}}? $ where $j\geq0 $

Published on 16 Aug 2018 - 0:31

score 52 · Answer 7 · 2018-08-16 16:40:19

What are the limit points of set $E=\left\{ a_{n}\::\:n=1,\:2,\:3,\:\cdots\right\} $, $a_{n}=\frac{n-1}{n+1}\left|\sin\frac{n\pi}{7}\right|$

score 851 · Answer 8 · 2018-09-06 05:58:34

851

Views

Show that there is a continuous real function $h$ on $[0,1]$ such that $\lim \sup |\frac{h(x+t)-h(x)}{t}| = \infty$ for all $x \in [0,1)$

Published on 06 Sep 2018 - 5:58

score 47 · Answer 9 · 2018-09-06 21:32:29

47

Views

Easy Lim Sup Proof?

Published on 06 Sep 2018 - 21:32

score 114 · Answer 10 · 2018-09-08 18:34:56

Doubt about step of the proof that $\limsup\limits_{n\to\infty}\left|\sum\limits_{\ell=1}^mz^n_\ell\right|^{1/n}=\max\limits_{1\le\ell\le m}|z_\ell|$

score 254 · Answer 11 · 2018-09-13 23:15:42

254

Views

How to prove an average inequality about limsup\liminf

Published on 13 Sep 2018 - 23:15

score 109 · Answer 12 · 2018-09-16 07:42:52

109

Views

Finding $f$ satisfies $\limsup_{n\to\infty}\frac{\tau(n)}{f(n)}=1$

Published on 16 Sep 2018 - 7:42

score 1.2k · Answer 13 · 2018-09-16 14:18:16

1.2k

Views

How to find the limsup and liminf of a sequence of intervals

Published on 16 Sep 2018 - 14:18

score 419 · Answer 14 · 2026-03-25 13:13:26

419

Views

Explanation of $\lim\sup$ of a sequence of random variables in measure theory

Published on 25 Mar 2026 - 13:13

score 172 · Answer 15 · 2018-09-16 20:06:17

172

Views

Probability of events tends to zero implies probabilty of liminf is zero

Published on 16 Sep 2018 - 20:06

List Question

Show that $S=\operatorname{span}\{v^{(i,j)},\;1\leq i\neq j\leq n\}.$

Does an integral inequality imply a pointwise inequality?

Proving lim sup of a sequence of measurable functions is measurable

Prove that if $f$ differentiable in $x^$ and $f(x^)=0$, then $\liminf_{x\to x^}\frac{|f(x)|}{||x-x^||}=0$ if $n>1$

Given that $\lim\limits_{n \to \infty}\left(1+\frac{1}{n}\right)^n=e$, show that $1+\frac{1}{1!}+\frac{1}{2!}+\cdots=e$.

Is $\limsup |C_n|^{\frac{1}{n}} = \limsup |C_{n+j}|^{\frac{1}{n}}? $ where $j\geq0 $

What are the limit points of set $E=\left\{ a_{n}\::\:n=1,\:2,\:3,\:\cdots\right\} $, $a_{n}=\frac{n-1}{n+1}\left|\sin\frac{n\pi}{7}\right|$

Show that there is a continuous real function $h$ on $[0,1]$ such that $\lim \sup |\frac{h(x+t)-h(x)}{t}| = \infty$ for all $x \in [0,1)$

Easy Lim Sup Proof?

Doubt about step of the proof that $\limsup\limits_{n\to\infty}\left|\sum\limits_{\ell=1}^mz^n_\ell\right|^{1/n}=\max\limits_{1\le\ell\le m}|z_\ell|$

How to prove an average inequality about limsup\liminf

Finding $f$ satisfies $\limsup_{n\to\infty}\frac{\tau(n)}{f(n)}=1$

How to find the limsup and liminf of a sequence of intervals

Explanation of $\lim\sup$ of a sequence of random variables in measure theory

Probability of events tends to zero implies probabilty of liminf is zero

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