4. (a) Suppose that f: [0,00) -t R is continuous and there is an L E R...
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4.
(a) Suppose that f: [0,00) -t R is continuous and there is an L E R such that f(x) -t L as x -t 00. Prove that f is uniformly continuous on [0,00).
(b) Prove that f (x) = 1/ (x2 + 1) is uniformly continuous on R.
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