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Right-Continuous

Last updated Nov 1, 2022

# Definition

Let $f: \mathbb{R} \to M$ where $(M, d)$ is a Metric Space. Then $f$ is Right-Continuous at $x \in \mathbb{R}$ if

$$\lim_{y \downarrow x} f(y) = f(x)$$ $f$ is Right-Continuous if it is Right-Continuous at all $x \in \mathbb{R}$.

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