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 181 · Answer 1 · 2018-04-12 22:58:13

181

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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 12 Apr 2018 - 22:58

score 224 · Answer 2 · 2026-03-25 09:29:21

224

Views

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

Published on 25 Mar 2026 - 9:29

score 146 · Answer 3 · 2018-04-15 06:57:04

146

Views

Supremum of a sequence - same as supremum of set?

Published on 15 Apr 2018 - 6:57

score 292 · Answer 4 · 2018-04-15 09:36:26

292

Views

supremum of a function on an compact interval

Published on 15 Apr 2018 - 9:36

score 228 · Answer 5 · 2026-03-25 01:18:32

228

Views

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

Published on 25 Mar 2026 - 1:18

score 1.8k · Answer 6 · 2026-03-25 11:03:51

1.8k

Views

Supremum is continuous over equicontinuous family of functions

Published on 25 Mar 2026 - 11:03

score 192 · Answer 7 · 2026-03-25 06:06:25

192

Views

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

Published on 25 Mar 2026 - 6:06

score 173 · Answer 8 · 2018-04-19 20:09:26

173

Views

Change order of infima over of uncountable sets

Published on 19 Apr 2018 - 20:09

score 574 · Answer 9 · 2026-03-25 06:00:25

574

Views

Is infimum distributive for norms?

Published on 25 Mar 2026 - 6:00

score 811 · Answer 10 · 2026-03-25 06:01:55

811

Views

Show that ordinal addition is associative

Published on 25 Mar 2026 - 6:01

score 38 · Answer 11 · 2018-04-21 13:05:18

38

Views

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

Published on 21 Apr 2018 - 13:05

score 41 · Answer 12 · 2018-04-22 12:42:46

41

Views

Moving Max to the Numerator

Published on 22 Apr 2018 - 12:42

score 99 · Answer 13 · 2018-04-22 13:13:39

99

Views

Least upper bound in Analysis

Published on 22 Apr 2018 - 13:13

score 496 · Answer 14 · 2018-04-22 20:50:54

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 127 · Answer 15 · 2018-04-23 07:38:45

127

Views

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

Published on 23 Apr 2018 - 7:38

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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