Definition:Discontinuity (Real Analysis)/Removable/Definition 1
< Definition:Discontinuity (Real Analysis) | Removable(Redirected from Definition:Removable Discontinuity of Real Function/Definition 1)
Jump to navigation
Jump to search
Definition
Let $X \subseteq \R$ be a subset of the real numbers.
Let $f: X \to \R$ be a real function.
Let $f$ be discontinuous at $c \in X$.
The point $c$ is a removable discontinuity of $f$ if and only if the limit $\ds \lim_{x \mathop \to c} \map f x$ exists.