Solution: If f is uniformly continuous on A ⊆ R, and |f(x)| ≥q k>0 for all x ∈ A, show that 1 / f is uniformly continuous on


Question: If \(f\) is uniformly continuous on \(A \subseteq \mathbb{R}\), and \(|f(x)| \geq k>0\) for all \(x \in A\), show that \(1 / f\) is uniformly continuous on \(A\).

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