Definitions

# Symmetrically continuous function

In mathematics, a function $f: mathbb\left\{R\right\} to mathbb\left\{R\right\}$ is symmetrically continuous at a point x if

$lim_\left\{hto 0\right\} f\left(x+h\right)-f\left(x-h\right) = 0.$

The usual definition of continuity implies symmetric continuity, but the converse is not true.