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Corollary: Continuous Real Functions on Closed Intervals are Bounded
(related to Proposition: Continuous Real Functions on Closed Intervals Take Maximum and Minimum Values within these Intervals)
Let \([a,b]\) be a closed real interval and let \(f:[a,b]\to\mathbb R\) be an arbitrary continuous real function. Then $f$ is bounded.
Table of Contents
Proofs: 1
Mentioned in:
Chapters: 1
Proofs: 2
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983