Question

$E$ bounded above, show that there is a sequence $(a_n) \subset E$ such that $a_n \to \sup E$

score 588 · Answer 1 · 2016-04-08 18:02:22

588

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$E$ bounded above, show that there is a sequence $(a_n) \subset E$ such that $a_n \to \sup E$

Published on 08 Apr 2016 - 18:02

score 119 · Answer 2 · 2016-04-10 12:53:40

119

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Real analysis Supremum and Infinum

Published on 10 Apr 2016 - 12:53

score 7.2k · Answer 3 · 2016-04-15 07:36:14

7.2k

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If S = {1/n | n ∈ ℕ}, what is inf(S)?

Published on 15 Apr 2016 - 7:36

score 60 · Answer 4 · 2016-04-16 18:36:04

60

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Is this true :if $x\in [0.2] $ then $f(x)=\frac{2x+3}{x+2} \in [0.2]$?

Published on 16 Apr 2016 - 18:36

score 237 · Answer 5 · 2016-04-17 05:59:48

237

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$s \lt t$ for each $s \in S$ and each $t \in T$. Prove that $\sup S \le \inf T$

Published on 17 Apr 2016 - 5:59

score 343 · Answer 6 · 2016-04-18 21:00:29

343

Views

Writing $\sup$ and $\inf$ in unions

Published on 18 Apr 2016 - 21:00

score 864 · Answer 7 · 2016-04-19 20:13:22

864

Views

Any regulated function on $[a, b]$ is bounded - proof verification

Published on 19 Apr 2016 - 20:13

score 854 · Answer 8 · 2016-04-20 17:16:45

854

Views

Sufficient conditions to have the supremum of a continuous function continuous?

Published on 20 Apr 2016 - 17:16

score 969 · Answer 9 · 2026-02-23 17:28:12

969

Views

Equicontinuous problem: supremum of equicontinuous functions

Published on 23 Feb 2026 - 17:28

score 1.4k · Answer 10 · 2016-04-22 02:39:44

1.4k

Views

Inequality about absolute value of difference of supremums

Published on 22 Apr 2016 - 2:39

score 2.1k · Answer 11 · 2016-04-22 11:02:07

2.1k

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Why the supremum of a closed set is not necessarily equal to the maximum?

Published on 22 Apr 2016 - 11:02

score 157 · Answer 12 · 2016-04-22 11:34:36

157

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Support function of a set: when we can replace the supremum with the maximum?

Published on 22 Apr 2016 - 11:34

score 57 · Answer 13 · 2016-04-23 13:50:24

57

Views

how do I find supremum of the set

Published on 23 Apr 2016 - 13:50

score 73 · Answer 14 · 2016-04-23 16:37:14

73

Views

Banach space and invertible linear operator

Published on 23 Apr 2016 - 16:37

score 55 · Answer 15 · 2016-04-24 09:02:34

55

Views

Let B be set of all twice differentialbe function $ f(0)=1, f'(0)=-1$ . .. Find supremum of $ {(f''(0):f\in B})$

Published on 24 Apr 2016 - 9:02

List Question

$E$ bounded above, show that there is a sequence $(a_n) \subset E$ such that $a_n \to \sup E$

Real analysis Supremum and Infinum

If S = {1/n | n ∈ ℕ}, what is inf(S)?

Is this true :if $x\in [0.2] $ then $f(x)=\frac{2x+3}{x+2} \in [0.2]$?

$s \lt t$ for each $s \in S$ and each $t \in T$. Prove that $\sup S \le \inf T$

Writing $\sup$ and $\inf$ in unions

Any regulated function on $[a, b]$ is bounded - proof verification

Sufficient conditions to have the supremum of a continuous function continuous?

Equicontinuous problem: supremum of equicontinuous functions

Inequality about absolute value of difference of supremums

Why the supremum of a closed set is not necessarily equal to the maximum?

Support function of a set: when we can replace the supremum with the maximum?

how do I find supremum of the set

Banach space and invertible linear operator

Let B be set of all twice differentialbe function $ f(0)=1, f'(0)=-1$ . .. Find supremum of $ {(f''(0):f\in B})$

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