Category:Definitions/Infinite Discontinuities

This category contains definitions related to Infinite Discontinuities.
Related results can be found in Category:Infinite Discontinuities.

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 an infinite discontinuity on $f$ if and only if $\size {\map f x}$ becomes arbitrarily large as $\size {x - c}$ becomes arbitrarily small.