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## Homework Statement

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.

## Homework Equations

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...