List questions from continuity | MathQa

How discontinuous can the limit function be?

Published on 02 Jun 2025 - 20:02

Weierstrass continuity vs sequential continuity

Published on 02 Jun 2025 - 18:36

Functions that change definition with the type of input

Published on 02 Jun 2025 - 18:45

Find the number a that makes $f(x)$ continuous everywhere?

Published on 26 May 2025 - 9:47

Let $f(x) = 1$ for rational numbers $x$, and $f(x)=0$ for irrational numbers. Show $f$ is discontinuous at every $x$ in $\mathbb{R}$

Published on 26 May 2025 - 15:54

Show that $T$ is not a homeomorphism

Published on 26 May 2025 - 6:29

Is Lipschitz "type" function Continuous?

Published on 02 Jun 2025 - 9:45

Continuity of the function $\mathbb{R}^k \to\mathbb{R}: x\mapsto \ln(1+ \lVert x \rVert)$

Published on 27 May 2025 - 20:32

Function continuity $(x^2 - 1)/( x - 1)$

Published on 27 May 2025 - 20:00

Between uniform and pointwise convergence

Published on 26 May 2025 - 5:24