Question: Let fn () be a sequence of bounded real valued functions that converges uniformly to a function f(x) on S. Prove that if f(@) is

Let fn () be a sequence of bounded real valued functions

Let fn () be a sequence of bounded real valued functions that converges uniformly to a function f(x) on S. Prove that if f(@) is bounded on S, then there exists some uniform bound M >0 such that Ifn () | - M for all n E N and all I E S

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