Pointwise and uniform convergence proof?
we have two sequences of functions on an interval I in the real line.
individually, these functions converge uniformly on I.
how do i prove that the product of these functions converges pointwise on I?
i know the definitions of each form of convergence.
also know that if we let fn be a series of continuous functions that uniformly converges to a function f. Then f is continuous.
Re: Pointwise and uniform convergence proof?
The uniform convergence is irrelevant. Take into account that
Originally Posted by cassius