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# Help with Limits! (as x approaches a number)

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Author: Alex G
##### Description:

By the end of this packet you should be able to:
* Find the limit as x approaches a number using substitution
* Find the limit as x approaches a number using factoring followed by substitution
* Know when limits do not exist
* Examine limits on a grapher

This packet will take you through the steps of finding the limit as x approaches a number.

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Tutorial

## Finding the Limit Through Substitution

The first thing you should always try is using substition to evaluate limits. This is an example of a limit that can be evaluated with substitution.

## The Limit Does Not Exist

What it looks like when the limit does not exist.

## Finding the Limit by Factoring (Example 1)

Sometimes substitution results in an indeterminant form. In that case, try factoring.

## Finding Limit by Factoring (Example 2)

Indeterminant forms require more work. This video shows difference of two squares and using conjugate pairs to resolve an inderterminant form.

## Looking at Limits on a Grapher

Examines the four limits above as a graph or a table.