A limit allows us to examine the tendency of a function around a given point even when the function is not defined at the point. Let us look at the function below.

Limit (mathematics) In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value. Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals.