Essential Discontinuity

If the left or right side limits at x = a are infinite or do not exist, then at x = a there is an essential discontinuity or infinite discontinuity.

Examples

Discontinuidad esencial

At x = 2 there is an essential discontinuity because there is no right side limit.

Essential Discontinuity

At x = 2 there is an essential discontinuity because there is no left side limit.


Essential Discontinuity

Essential Discontinuity

At x = 2 there is an essential discontinuity because the right side limit is infinite.