1
$\begingroup$

Consider a sequence of functions fn in C0. Suppose Gn of fn is a compact subset of R2.

Then prove fn converges uniformly as n-> ∞ if and only if the sequence Gn in K(R2) converges to the graph of the function f in C0.

I know we have to use Arzela-Ascoli but i don't know how to apply it. Can anyone help?

  • 0
    Please re-write your def'ns so that they make sense. And clarify your Q. I can't tell exactly what this asks. – 2017-02-27
  • 0
    just edited it, is this fine? – 2017-02-27

0 Answers 0