For every epsilon > 0, there exists an N\in N such that, for every j >= N, |f(i,n) - g(n)|<epsilon for every n\in N. In addition, for every fixed j\in N, (f(i,n)) converges. Prove that (g(n)) converges.
f: N x N --> R, g: N --> R
The Attempt at a Solution
I'm not sure what to do, especially since we're dealing with domains of N and not R...