Question: Problem 5: Prove: If each fn is integrable and {fn} converges uniformly on [a, b] then b lim fn(x) dx, n- too Ja exists. Comment:

Problem 5: Prove: If each fn is integrable and {fn} converges

Problem 5: Prove: If each fn is integrable and {fn} converges uniformly on [a, b] then b lim fn(x) dx, n- too Ja exists. Comment: In the theorem proven in class we assumed that the limit function is integrable. Here, we do not have this information. Use Cauchy condition

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