Prove that if K in the complex plane is compact and f(z) and g(z) are uniformly continuous functions on K, then f(z)g(z) is uniformly continuous on K.

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- Sep 22nd 2008, 07:31 PMgrad444More Complex Analysis help.
Prove that if K in the complex plane is compact and f(z) and g(z) are uniformly continuous functions on K, then f(z)g(z) is uniformly continuous on K.

- Sep 22nd 2008, 07:43 PMThePerfectHacker