(Steps Shown) Show that if (f_n),(g_n) converge uniformly on the set A to $f, g$, respectively, then (f_n+g_n) converges uniformly on A to


Question: Show that if \(\left(f_{n}\right),\left(g_{n}\right)\) converge uniformly on the set \(A\) to $f, g$, respectively, then \(\left(f_{n}+g_{n}\right)\) converges uniformly on \(A\) to \(f+g\).

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