List questions from supremum-and-infimum

Published on 30 Aug 2020 - 7:27

100

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sup and inf when even/odd subsequences converges?

Published on 31 Aug 2020 - 19:53

421

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Why does supremum replace maximum in the generalisation?

Published on 25 Mar 2026 - 14:19

19

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Proving that a nonempty real interval is determined by its endpoints and inclusion/exclusion thereof

Published on 25 Mar 2026 - 17:40

73

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Proving that $\sup (A + B) = \sup (A) + \sup (B)$ through two contradictions

Published on 04 Sep 2020 - 6:34

80

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If $\sum_{i\in F} a_i$ is finite then $a_i =0$ except for countably many $i\in F$

Published on 05 Sep 2020 - 7:44

173

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Definition of supremum

Published on 04 Apr 2026 - 6:10

67

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Supremum, infimum, max and min for $n(1+(-1)^{n})$

Published on 30 Mar 2026 - 12:22

68

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Prove that for $a,b,x \in \mathbb R_+$ and $a,b \ge 1$, then $a<b \implies a^x < b^x$.

Published on 10 Sep 2020 - 2:01

350

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proof for the supremum of $[0, \sqrt{2}] ∩ Q$

Published on 10 Sep 2020 - 6:21

567

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infimum, supremum of the sequence $\{\sin n\}$

Published on 10 Sep 2020 - 6:46

426

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Find the supremum of the set $A=\{\cos(10^n)\mid n\in\mathbb{N} \}$

Published on 10 Sep 2020 - 9:04

56

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Proof to calculate supremum

Published on 11 Sep 2020 - 6:39

44

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Only one maximum point of $e^{-\frac{2(a+t)}{1-t^2}} -\frac{2(a+t)}{1-t^2} + \frac 1{(1-t)^2}$ on $(-1,0)$

Published on 12 Sep 2020 - 12:12

108

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If $C=\{x^2,x\in S\}$, show that $\sup(C)=\max\{\sup(S)^2,\inf(S)^2\}$

Published on 13 Sep 2020 - 19:00

List Question

On the relationship between limit, infimum and supremum

sup and inf when even/odd subsequences converges?

Why does supremum replace maximum in the generalisation?

Proving that a nonempty real interval is determined by its endpoints and inclusion/exclusion thereof

Proving that $\sup (A + B) = \sup (A) + \sup (B)$ through two contradictions

If $\sum_{i\in F} a_i$ is finite then $a_i =0$ except for countably many $i\in F$

Definition of supremum

Supremum, infimum, max and min for $n(1+(-1)^{n})$

Prove that for $a,b,x \in \mathbb R_+$ and $a,b \ge 1$, then $a<b \implies a^x < b^x$.

proof for the supremum of $[0, \sqrt{2}] ∩ Q$

infimum, supremum of the sequence $\{\sin n\}$

Find the supremum of the set $A=\{\cos(10^n)\mid n\in\mathbb{N} \}$

Proof to calculate supremum

Only one maximum point of $e^{-\frac{2(a+t)}{1-t^2}} -\frac{2(a+t)}{1-t^2} + \frac 1{(1-t)^2}$ on $(-1,0)$

If $C=\{x^2,x\in S\}$, show that $\sup(C)=\max\{\sup(S)^2,\inf(S)^2\}$

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