Question

Proving that if $\lim\limits_{n\to\infty}a_n=+\infty$ and $\{b_n\}$ is a bounded sequence, then $\lim\limits_{n\to\infty}(a_n+b_n)=+\infty$

score 184 · Answer 1 · 2026-04-16 01:34:12

184

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Proving that if $\lim\limits_{n\to\infty}a_n=+\infty$ and $\{b_n\}$ is a bounded sequence, then $\lim\limits_{n\to\infty}(a_n+b_n)=+\infty$

Published on 16 Apr 2026 - 1:34

score 225 · Answer 2 · 2026-04-15 20:04:29

225

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Finding the $\max$ and $\min$ of $\left\{\frac{m+n}{m+2n}\colon n,m \in \mathbb N^*\right\}$

Published on 15 Apr 2026 - 20:04

score 148 · Answer 3 · 2026-04-14 16:20:24

148

Views

Supremum of a sequence - same as supremum of set?

Published on 14 Apr 2026 - 16:20

score 295 · Answer 4 · 2026-04-10 16:36:08

295

Views

supremum of a function on an compact interval

Published on 10 Apr 2026 - 16:36

score 235 · Answer 5 · 2026-05-10 12:35:33

235

Views

A characterization of the Choquet integral as the supremum of finite sums

Published on 10 May 2026 - 12:35

score 1.8k · Answer 6 · 2026-04-23 04:18:55

1.8k

Views

Supremum is continuous over equicontinuous family of functions

Published on 23 Apr 2026 - 4:18

score 195 · Answer 7 · 2026-05-10 17:18:10

195

Views

Definition of floor function as the maximum of the set $\{m\in\mathbb{Z}|m\leq x\}$

Published on 10 May 2026 - 17:18

score 176 · Answer 8 · 2026-04-14 22:40:39

176

Views

Change order of infima over of uncountable sets

Published on 14 Apr 2026 - 22:40

score 579 · Answer 9 · 2026-05-10 11:19:55

579

Views

Is infimum distributive for norms?

Published on 10 May 2026 - 11:19

score 814 · Answer 10 · 2026-05-10 16:21:51

814

Views

Show that ordinal addition is associative

Published on 10 May 2026 - 16:21

score 41 · Answer 11 · 2026-04-11 15:19:32

41

Views

If $A\leq \mathbb{Z}$ then $\sup A\in A$

Published on 11 Apr 2026 - 15:19

score 45 · Answer 12 · 2026-04-13 15:30:33

45

Views

Moving Max to the Numerator

Published on 13 Apr 2026 - 15:30

score 103 · Answer 13 · 2026-04-12 06:10:30

103

Views

Least upper bound in Analysis

Published on 12 Apr 2026 - 6:10

score 499 · Answer 14 · 2026-04-16 10:59:40

For each sets below determine if it is bounded above, bounded below, or both. If it is bounded above (below) find the supremum (infimum).

score 130 · Answer 15 · 2026-04-16 14:34:05

130

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$C=\{\frac{n^2+12n+32}{n+5}\:|\:n\in \mathbb{N}\}$. Prove that $\inf C=\frac{45}{6}$

Published on 16 Apr 2026 - 14:34

List Question

Proving that if $\lim\limits_{n\to\infty}a_n=+\infty$ and $\{b_n\}$ is a bounded sequence, then $\lim\limits_{n\to\infty}(a_n+b_n)=+\infty$

Finding the $\max$ and $\min$ of $\left\{\frac{m+n}{m+2n}\colon n,m \in \mathbb N^*\right\}$

Supremum of a sequence - same as supremum of set?

supremum of a function on an compact interval

A characterization of the Choquet integral as the supremum of finite sums

Supremum is continuous over equicontinuous family of functions

Definition of floor function as the maximum of the set $\{m\in\mathbb{Z}|m\leq x\}$

Change order of infima over of uncountable sets

Is infimum distributive for norms?

Show that ordinal addition is associative

If $A\leq \mathbb{Z}$ then $\sup A\in A$

Moving Max to the Numerator

Least upper bound in Analysis

For each sets below determine if it is bounded above, bounded below, or both. If it is bounded above (below) find the supremum (infimum).

$C=\{\frac{n^2+12n+32}{n+5}\:|\:n\in \mathbb{N}\}$. Prove that $\inf C=\frac{45}{6}$

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