_{n}: X [tex]\rightarrow[/tex] R be a sequence of functions. Let p be the uniform metric on the space R

^{x}. Show that the sequence (f

_{n}) converges uniformly to the function f : X [tex]\rightarrow[/tex] R if and only if the sequence (f

_{n}) converges to f as elements of the metric space

(R

^{X}, p)

I'm not sure how to do this problem...

Can someone help me out?

Thanks!