Limit Calculator

Limit Calculator with Steps

A limit solver/calculator is used to evaluate limits for a function. This limit finder also provides a limit from 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 a Limit?

Limit normally means boundary. In calculus, the 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.

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

$$= 5(8) - 4 $$

$$= 40 - 4 $$

$$= 36 $$