Limit Calculator

Enter function f(x)

Limit as x →

Result will appear here

About the Limit Calculator

The Limit Calculator is a powerful mathematical tool designed to help students, teachers, and professionals quickly evaluate the limit of a function as the variable approaches a specific value. Limits are a fundamental concept in calculus and form the foundation for derivatives, integrals, and continuous functions.

In mathematics, a limit describes the behavior of a function near a particular point rather than exactly at that point. This calculator works by evaluating the function very close to the chosen value from both sides, allowing you to understand whether the function approaches a finite number, infinity, or does not exist.

How to Use This Calculator

Using the Limit Calculator is simple and intuitive. First, enter the mathematical expression of the function in terms of x. You can use basic arithmetic operations such as addition (+), subtraction (−), multiplication (*), division (/), and powers (^).

Next, enter the value that x is approaching. Once both inputs are provided, click the Calculate Limit button. The calculator will evaluate the function near the specified value and display the approximate limit.

Example

Find the limit of the function:
lim x→1 (x² − 1)/(x − 1)

Step 1: Enter (x^2 - 1)/(x - 1) in the function field.
Step 2: Enter 1 as the limit value.
Step 3: Click calculate.

The result will be 2, which means the function approaches 2 as x approaches 1.

This calculator is especially useful for checking homework, learning calculus concepts, and saving time during problem-solving. While it provides numerical approximations, it also helps build intuition about how limits work in real mathematical scenarios.