Evaluating limits

Today in Mathland, we learned avout something that will help us later in Calculus. we learned about how to evaluate limits. There are three main steps to it. First, you must direct substitute to see if you get 0/0. If you do not, that will be your limit. Next, you do cancellation or rationalization. You do rationalization if there is a square-root. Next, you would direct substitute to get the answer. Here are a few examples.

There can also be one- sided limits. This is true for when there are gaps in the graph. This can be seen in the following picture. 

After learning all this, we then learned about the difference quotient. The difference quoties is used to find the slope through two points on a graph. This can be seen in the following picture.