are sequences of functions : which converge uniformly to f,g respectively.
If , prove converges uniformly to
and
prove : converges to given f,g are bounded.
No. I done part of this question. I am not sure if my proof is right. and I am not sure my link between two arguments is right.
i post my proof for the first part,
when , question is trivial:
So assume
converges uniformly to f:
by writing :