# How do I find the limit as #x# approaches negative infinity of a polynomial?

##### 2 Answers

If the polynomial

#### Explanation:

We can use the following fact about polynomials:

If

This fact is really saying that when we take a limit at infinity for a polynomial, all we have to do is look at the term with the largest power and ask what that term is doing in the limit.

If

If

I usually do this informally.

#### Explanation:

I ask myself what kinds of numbers do I get if I put in more and more negative numbers for

Examples:

**Example 1**

For very very big numbers, the only term that matters is the largest power term:

**Example 2**

For very very big numbers, the only term that matters is the largest power term:

**Example 3** (last)

For very very big numbers, the only term that matters is the largest power term: