A jump discontinuity occurs at a point where the left-hand and right-hand limits of a function exist but are not equal. This results in a 'jump' in the graph of the function at that point.
5 Must Know Facts For Your Next Test
At a jump discontinuity, $\lim_{{x \to c^-}} f(x) \neq \lim_{{x \to c^+}} f(x)$.
The function is not continuous at a jump discontinuity.
Both one-sided limits must exist for there to be a jump discontinuity.
A jump discontinuity often appears as a vertical gap in the graph of the function.