I need to prove:
Let $A$ be open in $\mathbb{R}^m$, $g:A \longrightarrow \mathbb{R}^n$ a locally lipschitz function and $C$ a compact subset of $A$.
Show that $g$ is lipschitz on $C$.
Can anyone help me?
I need to prove:
Let $A$ be open in $\mathbb{R}^m$, $g:A \longrightarrow \mathbb{R}^n$ a locally lipschitz function and $C$ a compact subset of $A$.
Show that $g$ is lipschitz on $C$.
Can anyone help me?