New posts in Continuity

Prove that $C^{\infty}_b(\mathbb{R}^{n})$ is dense in $C_{b}(\mathbb{R}^{n})$ using generic functions.

Limits of Rolle theorem

Hölder exponents greater than 1 imply function to be constant?

On the smooth dependence on initial conditions for the following ODE

Why aren’t continuous functions defined the other way around?

But what is a continuous function?

Can a cube of discontinuous function be continuous?

Need Help : Proving polynomials are continuous, without circular reasoning

For a function defined by parts study continuity, and differentiability at two points

Is every matrix conjugate to its transpose in a continuous way?