Definition:Discontinuity (Real Analysis)/Finite

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 $c \in X$.

$f$ is a finite discontinuity on $f$ $\map f c$ is finite.

Also see

 * Definition:Infinite Discontinuity