# Limits Calculator

The limits are defined as the value of the function approaches as the input approaches mentioned value.

## What is Limits Calculator?

'Cuemath's Limits Calculator' is an online tool that helps to calculate the value of limits. Cuemath's online Limits Calculator helps you to calculate the value of limits in a few seconds.

## How to Use Limits Calculator?

Please follow the below steps to find the value of limits:

**Step 1:**Enter the function or polynomial, and the limit value in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the value of limits.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Limits Calculator?

Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. The limit formula to calculate the derivative of a function is:

\(\lim_{x\rightarrow a} = A\)

It is read as “the limit of a function of x equals A as and when x approaches a.”

**Solved Example:**

Find the value of limit \(\lim_{x\rightarrow 2} (x^2 + 3x + 5) \)

**Solution:**

\(\lim_{x\rightarrow 2} (x^2 + 3x + 5) \)

Substitute limit value 2 in given function f(x)

= 2^{2} + 3(2) + 5

= 4 + 6 + 5

= 15

Therefore, the value of \(\lim_{x\rightarrow 2} (x^2 + 3x + 5) \) is 15.

Similarly, you can use the calculator to find the value of limits for the following:

- \(\lim_{x\rightarrow 4} (x^3 + 4x^2 + 7) \)
- \(\lim_{y\rightarrow 1} (y^2 + 8y + 9) \)