New posts in supremum-and-infimum

Prove that any positive number has an $n$th root

real-analysis radicals alternative-proof supremum-and-infimum

Product of sets and supremum

real-analysis products supremum-and-infimum

Least Upper Bound Property Implies Greatest Lower Bound Property

real-analysis analysis supremum-and-infimum upper-lower-bounds

Find $\inf$ and $\sup$ of $a_n = \frac{a_{n-1} + a_{n-2}}{a_{n-3}}$

sequences-and-series recurrence-relations supremum-and-infimum

Showing that $ \sup_{x \in A}(|f(x)|-|g(x)|)=\sup_{x\in A} |f(x)|-\inf_{x\in A}|g(x)|$

real-analysis supremum-and-infimum

How can I find the sup and inf of $m/n$ such that m,n are natural numbers and $m<2n$?

real-analysis supremum-and-infimum

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

real-analysis calculus-of-variations supremum-and-infimum

Sum of the supremum and supremum of a sum

calculus supremum-and-infimum

Understanding supremum / infimum of a sequence of functions in context of sequences of measurable functions

supremum-and-infimum measurable-functions

How can I show a supremum of a set is also its limit point?

real-analysis general-topology supremum-and-infimum

supremum of expectation $\le$ expectation of supremum?

probability proof-verification convex-analysis expectation supremum-and-infimum

Polynomial $P(x,y)$ with $\inf_{\mathbb{R}^2} P=0$, but without any point where $P=0$

real-analysis polynomials supremum-and-infimum

Simple question about square of a supremum

real-analysis supremum-and-infimum

The Supremum and Infimum of a sequence of measurable functions is measurable

measure-theory elementary-set-theory supremum-and-infimum

Proving rigorously the supremum of a set

real-analysis proof-verification proof-writing supremum-and-infimum

Can we establish the following inequalities

inequality supremum-and-infimum

Determine the $\sup(A)$ if $A = \{ \frac{(-1)^n}{n}: n \in \mathbb{N} \}$ and prove your result.

real-analysis supremum-and-infimum

How to deal with lim sup and lim inf?

real-analysis limits supremum-and-infimum limsup-and-liminf

Supremum and infimum of $\{\frac{1}{n}-\frac{1}{m}:m, n \in \mathbb{N}\}$

algebra-precalculus solution-verification supremum-and-infimum

To show that the supremum of any collection of lower semicontinuous functions is lower semicontinuous

general-topology continuity supremum-and-infimum semicontinuous-functions