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Corollary: All Uniformly Continuous Functions are Continuous

(related to Definition: Uniformly Continuous Functions (Real Case))

Let \(D\subset\mathbb R\) be a subset of real numbers $\mathbb R$ and let $f:D\mapsto \mathbb R$ be a uniformly continuous function on $D$. Then $f$ is 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