## What are limits in calculus?

The concept of a **limit** of a function is essential to the study of calculus. It is used in defining some of the more important concepts in calculus: continuity, the derivative of a function, and the definite integral of a function.

The limit of a function *f(x)* describes the behavior of the function close to a particular *x* value. It does not necessarily give the value of the function at *x*.