Recent content by cwmiller

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    What is the Limit of Max in a Metric Space?

    No it wouldn't. Good point. Many thanks.
  2. C

    What is the Limit of Max in a Metric Space?

    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...