2. Prove the following theorem: A sequence of functions (fr) defined on ACR converges uniformly on...

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2. Prove the following theorem: A sequence of functions (fr) defined on ACR converges uniformly on A if, and only if, Ve > 0 there exists an N = N such that |fn(x) fm(x)| < for all m, n N and all x = A. 2. Prove the following theorem: A sequence of functions (fr) defined on ACR converges uniformly on A if, and only if, Ve > 0 there exists an N = N such that |fn(x) fm(x)| < for all m, n N and all x = A.

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To prove the theorem well need to show both directions If a sequence of functions converges uniforml... View the full answer