Definition:Discontinuity (Real Analysis)/Non-Removable
< Definition:Discontinuity (Real Analysis)(Redirected from Definition:Non-Removable Discontinuity)
Jump to navigation
Jump to search
Definition
Let $A \subseteq \R$ be a subset of the real numbers.
Let $f: A \to \R$ be a real function.
Let $f$ be discontinuous at $a\in A$.
The point $a$ is a non-removable discontinuity of $f$ if and only if it is not a removable discontinuity.
Also known as
Some sources do not hyphenate: nonremovable discontinuity.
Also see
- Results about non-removable discontinuities can be found here.