Question

Problem on limit superior of a function

score 201 · Answer 1 · 2017-05-10 14:06:34

201

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Problem on limit superior of a function

Published on 10 May 2017 - 14:06

score 47 · Answer 2 · 2017-05-12 02:01:08

47

Views

Find the supremum (if exists) of the set $\frac2{\sqrt n}+4$, $n\in\Bbb N$

Published on 12 May 2017 - 2:01

score 49 · Answer 3 · 2017-05-14 07:53:37

49

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Verify if $\sup(A) = +\infty$, where $A=\{\frac{2}{x-1} : x > 1\}$.

Published on 14 May 2017 - 7:53

score 128 · Answer 4 · 2017-05-14 16:36:01

128

Views

Suprema and infima of subsets of Real Numbers and The Completeness Property of R.

Published on 14 May 2017 - 16:36

score 3.1k · Answer 5 · 2017-05-14 22:27:34

3.1k

Views

The supremum of the set $X = \{x \in\mathbb{R} : x^2 < 7\}$ is $\sqrt7$.

Published on 14 May 2017 - 22:27

score 794 · Answer 6 · 2017-05-15 04:27:43

794

Views

Proving oscillation of function on subset of domain

Published on 15 May 2017 - 4:27

score 99 · Answer 7 · 2017-05-15 17:55:59

99

Views

Is it true that $\sup_{x \in \mathbb{R}} |f(x)| = \sup_{x \in \mathbb{Q}} |f(x)|$?

Published on 15 May 2017 - 17:55

score 438 · Answer 8 · 2017-05-15 23:47:53

438

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$f$ continuous at point if and only if $\lim\limits_{k\to\infty}(\sup(f)-\inf(f))=0$ on diminishing set $N_k$

Published on 15 May 2017 - 23:47

score 65 · Answer 9 · 2017-05-16 08:21:32

65

Views

How to prove that $\sup (c \cdot X) = c \cdot \sup X $?

Published on 16 May 2017 - 8:21

score 123 · Answer 10 · 2017-05-16 16:12:24

123

Views

Using symmetry to prove $glb \implies lub$

Published on 16 May 2017 - 16:12

score 40 · Answer 11 · 2017-05-18 18:34:04

40

Views

A question about SupA used in Lebesgue integration books

Published on 18 May 2017 - 18:34

score 182 · Answer 12 · 2017-05-20 10:51:54

182

Views

Uniform convergence of series of functions: $\sum^{\infty}_{k=1}\frac{(-1)^{k+1}}{x^2+\sqrt{k}}$

Published on 20 May 2017 - 10:51

score 36 · Answer 13 · 2017-05-20 21:55:44

36

Views

How to prove if $L=\lim\sup s_n\ne\infty$, then for every $\alpha>L$, the set $\{n:s_n>\alpha\}$ is finite.

Published on 20 May 2017 - 21:55

score 247 · Answer 14 · 2026-04-04 02:17:47

247

Views

Infimization/Minimization of a matrix product (least-squares-like)

Published on 04 Apr 2026 - 2:17

score 1.8k · Answer 15 · 2017-05-23 01:45:06

1.8k

Views

Proof of $\sup ST = \sup S \sup T$

Published on 23 May 2017 - 1:45

List Question

Problem on limit superior of a function

Find the supremum (if exists) of the set $\frac2{\sqrt n}+4$, $n\in\Bbb N$

Verify if $\sup(A) = +\infty$, where $A=\{\frac{2}{x-1} : x > 1\}$.

Suprema and infima of subsets of Real Numbers and The Completeness Property of R.

The supremum of the set $X = \{x \in\mathbb{R} : x^2 < 7\}$ is $\sqrt7$.

Proving oscillation of function on subset of domain

Is it true that $\sup_{x \in \mathbb{R}} |f(x)| = \sup_{x \in \mathbb{Q}} |f(x)|$?

$f$ continuous at point if and only if $\lim\limits_{k\to\infty}(\sup(f)-\inf(f))=0$ on diminishing set $N_k$

How to prove that $\sup (c \cdot X) = c \cdot \sup X $?

Using symmetry to prove $glb \implies lub$

A question about SupA used in Lebesgue integration books

Uniform convergence of series of functions: $\sum^{\infty}_{k=1}\frac{(-1)^{k+1}}{x^2+\sqrt{k}}$

How to prove if $L=\lim\sup s_n\ne\infty$, then for every $\alpha>L$, the set $\{n:s_n>\alpha\}$ is finite.

Infimization/Minimization of a matrix product (least-squares-like)

Proof of $\sup ST = \sup S \sup T$

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