List questions from supremum-and-infimum

Published on 21 Sep 2017 - 5:11

48

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If $a_1 = 1$, $a_{2n} = pa_{2n-1},a_{2n+1} = bp + a_{2n}$, what is $\lim\inf_na_n$ and $\lim\sup_na_n$?

Published on 21 Sep 2017 - 6:07

123

Views

numerical sequence on extended real line

Published on 22 Sep 2017 - 19:09

247

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An optimization problem with strict inequalities for which an optimal solution exists

Published on 23 Sep 2017 - 10:11

497

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Find inf and sup of a set with a pair of elements

Published on 23 Sep 2017 - 12:49

595

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How to find sup X and inf X

Published on 04 Apr 2026 - 13:14

1.5k

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Why the set $ \mathcal{S} = \left\{x\in\mathbb{Q} : x>0 , x^2<2 \right\} $ doesn't have the least-upper-bound in $\mathbb{Q}$?

Published on 24 Sep 2017 - 14:18

102

Views

Set of cluster points of a sequence in $\mathbb{R}$ lies in an interval

Published on 25 Sep 2017 - 3:27

85

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Infimum of $\frac{6n}{3n-1}$

Published on 25 Sep 2017 - 17:43

200

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Supremum equation proof.

Published on 25 Sep 2017 - 18:29

1k

Views

is the sup of functions measurable function?

Published on 26 Sep 2017 - 23:37

115

Views

Upperbounds and Supremums of Subsets of R. [Solved]

Published on 28 Sep 2017 - 22:14

40

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Prove $\lim_{n\to\infty}\inf\{\frac{1}{2^n} : n \in \mathbb{N}\}=0$

Published on 30 Sep 2017 - 2:02

97

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What would be the contrapositive of a statement about infima?

Published on 30 Sep 2017 - 8:52

166

Views

Proving that a set is a Borel set

Published on 29 Mar 2026 - 17:31

List Question

Simple question about square of a supremum

If $a_1 = 1$, $a_{2n} = pa_{2n-1},a_{2n+1} = bp + a_{2n}$, what is $\lim\inf_na_n$ and $\lim\sup_na_n$?

numerical sequence on extended real line

An optimization problem with strict inequalities for which an optimal solution exists

Find inf and sup of a set with a pair of elements

How to find sup X and inf X

Why the set $ \mathcal{S} = \left\{x\in\mathbb{Q} : x>0 , x^2<2 \right\} $ doesn't have the least-upper-bound in $\mathbb{Q}$?

Set of cluster points of a sequence in $\mathbb{R}$ lies in an interval

Infimum of $\frac{6n}{3n-1}$

Supremum equation proof.

is the sup of functions measurable function?

Upperbounds and Supremums of Subsets of R. [Solved]

Prove $\lim_{n\to\infty}\inf\{\frac{1}{2^n} : n \in \mathbb{N}\}=0$

What would be the contrapositive of a statement about infima?

Proving that a set is a Borel set

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