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Corollary: Differentiable Functions are Continuous
(related to Proposition: Differentiable Functions and Tangent-Linear Approximation)
Let \(D\subseteq\mathbb R\) (\(D\) is a subset of real numbers). If a function \(f:D\to \mathbb R\) is differentiable in \(D\), then \(f\) is continuous in \(D\).
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- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983