Definition:Continuous Real Function/Closed Interval/Definition 2

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Definition

Let $f$ be a real function defined on a closed interval $\left[{a \,.\,.\, b}\right]$.


The function $f$ is continuous on $\left[{a \,.\,.\, b}\right]$ if and only if it is continuous at every point of $\left[{a \,.\,.\, b}\right]$.


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