Question

The supremum of set $A=\left\{ \left(\frac{m+n+1}{m+n}\right)^{m+n};\ m,n\in\mathbb{N}^* \right\}$.

score 163 · Answer 1 · 2014-11-22 21:54:10

163

Views

The supremum of set $A=\left\{ \left(\frac{m+n+1}{m+n}\right)^{m+n};\ m,n\in\mathbb{N}^* \right\}$.

Published on 22 Nov 2014 - 21:54

score 79 · Answer 2 · 2014-11-22 22:30:32

79

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The supermum of E

Published on 22 Nov 2014 - 22:30

score 73 · Answer 3 · 2014-11-25 13:17:37

73

Views

infimum and supremum of subsets question

Published on 25 Nov 2014 - 13:17

score 180 · Answer 4 · 2014-11-26 22:57:20

180

Views

Infimum of $\left\{\frac{n}{n^2+1}\:\:;\:n\:\in \mathbb N\right\}$ with a proof

Published on 26 Nov 2014 - 22:57

score 46 · Answer 5 · 2014-11-27 15:01:42

46

Views

An element $u$ is an upper bound of $E$ if and only if $t>u$ implies $t\notin E$

Published on 27 Nov 2014 - 15:01

score 451 · Answer 6 · 2014-11-27 23:44:17

451

Views

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

Published on 27 Nov 2014 - 23:44

score 85 · Answer 7 · 2014-11-29 06:27:44

85

Views

If $u\notin E$, then the supremum of $E\cup\{u\}$ is $\sup\{\sup E, u\}$

Published on 29 Nov 2014 - 6:27

score 73 · Answer 8 · 2014-11-29 20:53:27

73

Views

Findin the $\sup$ and $\inf$ of defined sets

Published on 29 Nov 2014 - 20:53

score 715 · Answer 9 · 2014-11-29 23:14:02

715

Views

Maximum and minimum function on an interval

Published on 29 Nov 2014 - 23:14

score 2k · Answer 10 · 2026-03-25 15:24:38

2k

Views

Question about supremum $\implies$ infimum

Published on 25 Mar 2026 - 15:24

score 193 · Answer 11 · 2014-12-05 17:03:34

193

Views

Prove least upper bound for piecewise inequality

Published on 05 Dec 2014 - 17:03

score 2.8k · Answer 12 · 2026-03-27 12:09:56

2.8k

Views

Equivalence of weak $L^p$ norms

Published on 27 Mar 2026 - 12:09

score 99 · Answer 13 · 2014-12-07 21:30:43

99

Views

Calculate $\sup \,\left\{\frac{n}{n+1}:n \in\mathbb{N}\right\}$

Published on 07 Dec 2014 - 21:30

score 50 · Answer 14 · 2014-12-07 21:51:59

50

Views

question on least upper bound principle.

Published on 07 Dec 2014 - 21:51

score 217 · Answer 15 · 2014-12-09 04:57:13

217

Views

Let A⊆R be a set. Prove that A is bounded if and only if there is some M∈R such that M>0 and that |x|≤M for all x∈A.

Published on 09 Dec 2014 - 4:57

List Question

The supremum of set $A=\left\{ \left(\frac{m+n+1}{m+n}\right)^{m+n};\ m,n\in\mathbb{N}^* \right\}$.

The supermum of E

infimum and supremum of subsets question

Infimum of $\left\{\frac{n}{n^2+1}\:\:;\:n\:\in \mathbb N\right\}$ with a proof

An element $u$ is an upper bound of $E$ if and only if $t>u$ implies $t\notin E$

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

If $u\notin E$, then the supremum of $E\cup\{u\}$ is $\sup\{\sup E, u\}$

Findin the $\sup$ and $\inf$ of defined sets

Maximum and minimum function on an interval

Question about supremum $\implies$ infimum

Prove least upper bound for piecewise inequality

Equivalence of weak $L^p$ norms

Calculate $\sup \,\left\{\frac{n}{n+1}:n \in\mathbb{N}\right\}$

question on least upper bound principle.

Let A⊆R be a set. Prove that A is bounded if and only if there is some M∈R such that M>0 and that |x|≤M for all x∈A.

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