hw4additional-555-2011 - c ∈ R such that f x c = f x for...

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Extra problems Homework 4. (1) Let f,g : R R be uniformly continuous functions. Assume that both f and g are bounded. Prove that the product fg is uniformly continuous. (2) A function f : R R is periodic, if there exists a
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Unformatted text preview: c ∈ R such that f ( x + c ) = f ( x ) for all x ∈ R . Prove that a continuous periodic function on R is bounded and uniformly continuous. 1...
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