# Limit Calculator

Enter the function, side, limit, and “w.r.t” variable in the limit calculator. Click on the “Calculate” button.

## Limit calculator

• This will be calculated:

## Limit Calculator with Steps

A limit solver/calculator is used to evaluate limits for a function. This limit finder also provides a limit form the opposite side, plot, and series expansion at x=1 (Taylor’s series).

It is also known as l'hopital's rule calculator as it uses l'hopital's rule to expand functions using limits..

## What is Limit?

Limit normally means boundary. In calculus, limit is defined as:

The limit of a function is the value that f(x) gets closer to as x approaches some number.

Limits form the basis of derivatives and integrals in calculus.

## How to evaluate limits?

For convenience, you can use the limit evaluator to solve the function with steps. But the manual process is explained through the example below.

### Example:

Solve:

$$\lim\limits_{x \to 2}(5x^3-2x)$$

### Solution:

• Apply limit separately on each value.

$$= \space \lim\limits_{x \to 2}\space (5x^3) - \lim\limits_{x \to 2}\space (2x)$$

• Enter the value of x as 2 at every place.

$$= 5(2)^3 - 2(2)$$

$$= 5(8) - 4$$

$$= 40 - 4$$

$$= 36$$