# What is the limit?

**limit**is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.

**Limits**are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals.

Similarly, it is asked, what is a limit in math?

In **mathematics**, a **limit** is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value. **Limits** are essential to calculus (and **mathematical** analysis in general) and are used to define continuity, derivatives, and integrals.

Beside above, how do you find limits? **Find** the **limit** by rationalizing the numerator In this situation, if you multiply the numerator and denominator by the conjugate of the numerator, the term in the denominator that was a problem cancels out, and you'll be able to **find** the **limit**: Multiply the top and bottom of the fraction by the conjugate.

Also asked, what does it mean for a limit to exist?

In order to say the **limit exists**, the function has to approach the same value regardless of which direction x comes from (We have referred to this as direction independence). Since that isn't true for this function as x approaches 0, the **limit does** not **exist**.

What are the limit laws?

**Limit Laws** are the properties of **limit**. They are used to calculate the **limit** of a function. Constant **Law**. The **limit** of a constant is the constant itself.