Essential Discontinuity

Definition

An essential discontinuity occurs when there is no limit for the value of a function as it approaches a particular point, resulting in either infinite or undefined behavior.

Related terms

Infinite Limit:

When the limit of a function goes towards positive or negative infinity.

Indeterminate Form/Expression: An expression that cannot be evaluated because it does not have enough information.

Rational Function:

A function that can be expressed as the ratio of two polynomials.