Definition:Removable Discontinuity of Real Function/Definition 1

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Definition

Let $A \subseteq \R$ be a subset of the real numbers.

Let $f : A \to \R$ be a real function.

Let $f$ be discontinuous at $a\in A$.


The point $a$ is a removable discontinuity of $f$ if and only if the limit $\displaystyle \lim_{x \to a}f(x)$ exists.


Also see