# What is the meaning of the limit of a function?

##### 1 Answer

The statement

#### Explanation:

The precise definition is:

For any real number

Consider the function

If we plot the graph, it looks like this:

We can't say what the value is at

Let's try to show that

The question is, how do we get from

We must start with some value of

Let's start with

The other condition is

The definition fits exactly if

We have just shown that for any

So we have shown that