New post in Supremum-and-infimum

Which of the following statements are true for $A=\{t\sin(\frac{1}{t})\ |\ t\in (0,\frac{2}{\pi})\}$?

December 1st, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

Find $\sup$ and $\inf$ of $(\frac{1}{n})$

October 29th, 2020

Interchanging limit and supremum

September 13th, 2020

If $\sup S\not\in S$ then $\{x \in S: x > \sup{S} - \epsilon\}$ is infinite

September 12th, 2020

August 1st, 2022

change the order of sup and inf

September 28th, 2020

Is supremum part of the set or it is the bigest element out of it?

November 18th, 2020

proving if $a \le b$ then $\sup(A) \le \inf(B)$

October 11th, 2020

August 1st, 2022

August 1st, 2022

very simple statement but how to find inf, sup

November 29th, 2020

Simple question about square of a supremum

December 24th, 2021

April 23rd, 2020

August 1st, 2022

March 23rd, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

July 16th, 2020

Find the infimum and supremum of $\{x\in Q \mid x² < 9\}$

October 26th, 2020

Sup and inf of $n \sin(1/n)$

August 29th, 2021

Let $S=\{\frac{1}{n}-\frac{1}{m}:n,m\in \mathbb{N}\}$ Show that $\sup S = 1$

September 18th, 2020

August 6th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

Prove that $\sup{A} = \inf{B}$ if and only if for each $\delta > 0$ there exists $x \in A$ and $y \in B$ such that $x + \delta > y$:

August 19th, 2020