Question

Is there any way to find the supremum of $\lim_{x \to 0} \sup_x \frac{{\operatorname{erfc}(x)\log (\operatorname{erfc}(x))}}{{{x^2}}}$

score 33 · Answer 1 · 2026-03-28 06:00:30

33

Views

Is there any way to find the supremum of $\lim_{x \to 0} \sup_x \frac{{\operatorname{erfc}(x)\log (\operatorname{erfc}(x))}}{{{x^2}}}$

Published on 28 Mar 2026 - 6:00

score 217 · Answer 2 · 2020-03-12 14:25:40

217

Views

Prove $\overline{\lim\limits_{n \to \infty}} \Big(\inf f_n(x) \Big) \leq \inf \Big( \overline{\lim\limits_{n \to \infty}} f_n(x) \Big)$

Published on 12 Mar 2020 - 14:25

score 395 · Answer 3 · 2020-03-14 16:08:11

395

Views

Is there a largest open interval for an open set (not necessarily bounded)?

Published on 14 Mar 2020 - 16:08

score 161 · Answer 4 · 2026-03-27 00:06:03

161

Views

Does the supremum of the singular value of a matrix H(s), over the RHP, always occur on the imaginary axis?

Published on 27 Mar 2026 - 0:06

score 29 · Answer 5 · 2020-03-15 01:12:19

29

Views

How to get the upper bound of $\sup_{z\in\partial{B_0}}\exp\left[-\frac{d(z,y)^2}{C}\right]$

Published on 15 Mar 2020 - 1:12

score 99 · Answer 6 · 2020-03-17 16:31:09

99

Views

$\omega(A_{\beta})\geq \frac{1}{2}$ for all $\beta$ and $\|A_{\beta_0}\|<1$ for some $\beta_0$

Published on 17 Mar 2020 - 16:31

score 290 · Answer 7 · 2020-03-18 15:45:13

290

Views

$A = \{x+ 1/n : x \in (0,1), n \in \mathbb Z^+ \}.$ Determine the supremum and infimum of $A$, if they exist.

Published on 18 Mar 2020 - 15:45

score 443 · Answer 8 · 2020-03-18 17:18:25

443

Views

Supremum of a Subset of Integers is an Integer

Published on 18 Mar 2020 - 17:18

score 739 · Answer 9 · 2020-03-20 04:30:09

739

Views

If $A$ is a subset of $B$, then $\sup A\le\sup B$

Published on 20 Mar 2020 - 4:30

score 158 · Answer 10 · 2020-03-21 01:03:19

158

Views

Prove that if $\inf\{b_n\} = 0$, then $\inf\{a_n\} = 0$

Published on 21 Mar 2020 - 1:03

score 48 · Answer 11 · 2020-03-21 01:17:49

48

Views

Show that $\inf \{\frac{2^n}{n!}:n\in\mathbb{N}\}= 0$

Published on 21 Mar 2020 - 1:17

score 501 · Answer 12 · 2020-03-21 10:03:16

501

Views

Bounded stochastic process is uniformly bounded.

Published on 21 Mar 2020 - 10:03

score 45 · Answer 13 · 2020-03-23 14:49:31

45

Views

Find sup, inf qlnq+plnp

Published on 23 Mar 2020 - 14:49

score 103 · Answer 14 · 2020-03-23 21:28:22

103

Views

Sup inf function $\ \frac{(\pi^2-x^2)\sin(x)}{1+\cos(x)} $

Published on 23 Mar 2020 - 21:28

score 102 · Answer 15 · 2020-03-24 08:55:14

102

Views

Find the infimum and supremum (if any) of set $S=\left\{\frac{n-1}{n+1} | n\geq 1\right\}$

Published on 24 Mar 2020 - 8:55

List Question

Is there any way to find the supremum of $\lim_{x \to 0} \sup_x \frac{{\operatorname{erfc}(x)\log (\operatorname{erfc}(x))}}{{{x^2}}}$

Prove $\overline{\lim\limits_{n \to \infty}} \Big(\inf f_n(x) \Big) \leq \inf \Big( \overline{\lim\limits_{n \to \infty}} f_n(x) \Big)$

Is there a largest open interval for an open set (not necessarily bounded)?

Does the supremum of the singular value of a matrix H(s), over the RHP, always occur on the imaginary axis?

How to get the upper bound of $\sup_{z\in\partial{B_0}}\exp\left[-\frac{d(z,y)^2}{C}\right]$

$\omega(A_{\beta})\geq \frac{1}{2}$ for all $\beta$ and $\|A_{\beta_0}\|<1$ for some $\beta_0$

$A = \{x+ 1/n : x \in (0,1), n \in \mathbb Z^+ \}.$ Determine the supremum and infimum of $A$, if they exist.

Supremum of a Subset of Integers is an Integer

If $A$ is a subset of $B$, then $\sup A\le\sup B$

Prove that if $\inf\{b_n\} = 0$, then $\inf\{a_n\} = 0$

Show that $\inf \{\frac{2^n}{n!}:n\in\mathbb{N}\}= 0$

Bounded stochastic process is uniformly bounded.

Find sup, inf qlnq+plnp

Sup inf function $\ \frac{(\pi^2-x^2)\sin(x)}{1+\cos(x)} $

Find the infimum and supremum (if any) of set $S=\left\{\frac{n-1}{n+1} | n\geq 1\right\}$

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