$d(x,y)=\|x-y\|$, $x,y \in \mathbb{R}^n$. How can I show $\|\cdot\|$ is continuous jointly in $x$ and $y$?
I have written the following:
$\|x-y\|, $d(\|x-y\|,\|x_0-y_0\|)<\epsilon$ isn't that true? How should I continue?
$d(x,y)=\|x-y\|$, $x,y \in \mathbb{R}^n$. How can I show $\|\cdot\|$ is continuous jointly in $x$ and $y$?
I have written the following:
$\|x-y\|, $d(\|x-y\|,\|x_0-y_0\|)<\epsilon$ isn't that true? How should I continue?