Homework Statement
Prove that \rho_{0}(x,y)=max_{1 \leq k \leq n}|x_{k} - y_{k}|=lim_{p\rightarrow\infty}(\sum^{n}_{k=1}|x_{k}-y_{k}|^{p})^{\frac{1}{p}}
Homework Equations
The Attempt at a Solution
My approach was to define a_{m}=max_{1 \leq k \leq n}|x_{k} - y_{k}| and...