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Proposition: Not all Continuous Functions are also Uniformly Continuous

Let \(D\subset\mathbb R\) be a subset of real numbers $\mathbb R$. There exist continuous functions $f:D\mapsto \mathbb R$ such that they are not also uniformly continuous on $D.$

Table of Contents

Proofs: 1

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983