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(15 points) Let f : A + R be a function defined on the set A consisting of all the rational numbers in [0,1]. Suppose th
Posted: Thu May 12, 2022 12:20 pm
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- 15 Points Let F A R Be A Function Defined On The Set A Consisting Of All The Rational Numbers In 0 1 Suppose Th 1 (18.88 KiB) Viewed 20 times
(15 points) Let f : A + R be a function defined on the set A consisting of all the rational numbers in [0,1]. Suppose there exist positive real numbers B, K >0 such that \f () - f(y)<K|x - y for all r, y E A. (a) Prove that f is uniformly continuous on A. (b) Prove that f is a constant function if B > 1.