'10. Prove that if f is uniformly continuous on bounded subset A of R; then f is bounded on'
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'Show that if f is uniformly continuous On a bounded set $ then f is bounded by contradiction and use the fact proved in class on 5. Hint: Do proof that uniformly continuous function maps Cauchy sequences into Cauchy and Bolzano-Weierstrass Theorem a5 well: You may assume $ is sequences; infinite'
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Let f : [a,b] -> R be uniformly continuous on (a, b). Prove that f is integrable.
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