What Does a Non Removable Discontinuity Mean?

If the limit does not exist, then the discontinuity is non–removable. In essence, if adjusting the function's value solely at the point of discontinuity will render the function continuous, then the discontinuity is removable.

What does it mean for a discontinuity to be non removable?

A non-removable discontinuity is any other kind of discontinuity. (Often jump or infinite discontinuities.) Definition. If f has a discontinuity at a , but limx→af(x) exists, then f has a removable discontinuity at a. ("Infinite limits" are "limits" that do not exists.)

What does non removable mean in math?

A non-removable discontinuity is any other kind of discontinuity. (Often jump or infinite discontinuities.) Note: The graph of a removable discontinuity leaves you feeling empty, whereas a graph of a non removable discontinuity leaves you feeling jumpy .