6. Let f: R R have the property that, for all x, y E R, |f...
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6. Let f: R→ R have the property that, for all x, y E R, |f (x) – f(y)| < 2 |x – y|. Prove that f is uniformly continuous on R. 6. Let f: R→ R have the property that, for all x, y E R, |f (x) – f(y)| < 2 |x – y|. Prove that f is uniformly continuous on R.
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