# What is a limit and how is it found?

**limit**is a certain value to which a function approaches. Finding a

**limit**usually means finding what value y is as x approaches a certain number. You would typical phrase it as something like "the

**limit**of a function f(x) is 7 as x approaches infinity. One way to

**find**the

**limit**is by the substitution method.

Then, how do limits work explain?

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.

Also Know, what are the limit rules? The **limit** of a sum is equal to the sum of the **limits**. The **limit** of a difference is equal to the difference of the **limits**. The **limit** of a constant times a function is equal to the constant times the **limit** of the function. The **limit** of a product is equal to the product of the **limits**.

Also know, what are the rules of limits?

This **rule** states that the **limit** of the sum of two functions is equal to the sum of their **limits**: limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x).

What do you mean by limit of a function?

In mathematics, the **limit of a function** is a fundamental concept in **calculus** and analysis concerning the behavior of that **function** near a particular input. In particular, the many definitions of continuity employ the **limit**: roughly, a **function** is continuous if all of its **limits** agree with the values of the **function**.