Definition:Discontinuity (Real Analysis)/Removable

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 $c \in X$.

Also see

 * Equivalence of Definitions of Removable Discontinuity of Real Function


 * Definition:Non-Removable Discontinuity
 * Definition:Jump Discontinuity
 * Definition:Discontinuity of the First Kind