# A Function with a Jump Discontinuity

A Function with a Jump Discontinuity

This Demonstration gives an example of a function with a jump discontinuity. A function defined in some neighborhood of is discontinuous at if there exists such that for each , there exists an such that and.

f

x

0

x

0

ϵ>0

δ>0

x

|x-|<δ

x

0

|f(x)-f()|≥ϵ

x

0