- #1
tomboi03
- 77
- 0
Let X be a set, and let fn : X [tex]\rightarrow[/tex] R be a sequence of functions. Let p be the uniform metric on the space Rx. Show that the sequence (fn) converges uniformly to the function f : X [tex]\rightarrow[/tex] R if and only if the sequence (fn) converges to f as elements of the metric space
(RX, p)
I'm not sure how to do this problem...
Can someone help me out?
Thanks!
(RX, p)
I'm not sure how to do this problem...
Can someone help me out?
Thanks!