(See) (a) Prove that f(x)=1 / x is uniformly continuous on [a, ∞) for any a>0. (b) Prove that f(x)=1 / x is not uniformly continuous on (0,


Question: (a) Prove that \(f(x)=1 / x\) is uniformly continuous on \([a, \infty)\) for any \(a>0\).

(b) Prove that \(f(x)=1 / x\) is not uniformly continuous on \((0, \infty)\).

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