1. ## Continuity functions (Generalization)

A example of function $f:R\to R$ that no satify Lipschitz condition $\lambda$ in all R, but continuous in all R?

2. Originally Posted by rmorin
A example of function $f:R\to R$ that no satify Lipschitz condition $\lambda$ in all R, but continuous in all R?

$f(x)=x^2$ ...

Tonio

3. Originally Posted by rmorin
A example of function $f:R\to R$ that no satify Lipschitz condition $\lambda$ in all R, but continuous in all R?
Originally Posted by tonio
$f(x)=x^2$ ...

Tonio
Haha!

I bet he meant uniformly continuous, huh?

4. i think it's probably that thing.

but $f(x)=\sqrt x$ on $x\in[0,\infty)$ is a good choice.