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Theorem: Continuous Real Functions on Closed Intervals are Uniformly Continuous
Let $[a,b]$ be a closed real interval, $\mathbb R$ be the set of real numbers and \(f:[a,b]\mapsto \mathbb R\) a continuous function. Then \(f\) is uniformly continuous.
Table of Contents
Proofs: 1 2
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Proofs: 1
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983