Question: Dear Tutors, Please help me with this study question. Include all steps and explanations. Thanks! Let fn(a;) be a sequence of bounded real valued functions

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

Dear Tutors,

Please help me with this study question. Include all steps and explanations. Thanks!

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

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