New posts in continuity

$\int_0^1 fg\geq 0$ for every non negative, continuous $g$ implies $f\geq 0$ a.e.

real-analysis integration measure-theory continuity lebesgue-integral

Why formulate continuity in terms of pre-images instead of image?

general-topology continuity

Is $f \mapsto (x\mapsto \int_0^x f\,\mathrm d\lambda)$ weak-strong continuous from $L^1([0,1])$ to $C([0,1])$?

functional-analysis continuity lp-spaces weak-lp-spaces

Use sandwich theorem to find $\lim_{x \to 0} f(x)$, when $|f(x)-1| \le x^2$

real-analysis calculus limits derivatives continuity

Calculus over $\mathbb{Q}$

calculus real-analysis continuity infinitesimals

iPhone Personal Hotspot always visible even when off

ios network wifi tethering continuity

Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a) < g(a)$ and $f(b) > g(b)$

continuity

Proving a Lipschitz function is continuous

calculus real-analysis continuity lipschitz-functions

A continuous function on $[0,1]$ not of bounded variation

calculus continuity examples-counterexamples bounded-variation

Continuous versus differentiable

analysis intuition derivatives continuity

How to mute a FaceTime iPhone call on OS X through a shortcut?

macos facetime shortcut call continuity

Zeroes of a continuous function on a metric space

real-analysis metric-spaces continuity

Do these "hyper-discontinuous" functions exist?

real-analysis general-topology continuity recreational-mathematics

Increasing real valued function whose image set is connected

real-analysis proof-verification continuity

Uniform limit theorem and continuity at infinity

limits continuity uniform-convergence

Continuous image of the closure of a set in a compact space is closure of image

general-topology continuity compactness

I need to prove the continuity of $f(x)=\log x$ using a $\epsilon-\delta$ proof

calculus real-analysis limits continuity

Is there a way to phrase "continuous" in terms of "connected"?

general-topology continuity education connectedness

Translation operator and continuity

continuity lp-spaces

Every uniformly continuous real function has at most linear growth at infinity

real-analysis continuity asymptotics uniform-continuity