Closed Ball
# Definition
Let $(M, d)$ be a Metric Space. The Closed Ball about $x \in M$ of radius $\epsilon > 0$ is $$\overline{B_{\epsilon}(x)} := {x’ \in X : d(x, x’) \leq \epsilon}$$
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Let $(M, d)$ be a Metric Space. The Closed Ball about $x \in M$ of radius $\epsilon > 0$ is $$\overline{B_{\epsilon}(x)} := {x’ \in X : d(x, x’) \leq \epsilon}$$