Limits
A limit is a y value.
The three main ways to find a limit are:
- direct substitution
- factoring
- observation of a graph
Direct Substitution
To solve for a limit we want to calculate the y value for the function at a particular x-value.
Example:
1.1 
In this case, a limit is a y value and the y value is obtained by direct substitution.
Another Example:
1.2 
If you want, try the ones below for practice.
1.3 
1.4 
1.5 
1.6 
If you were asked to find 
by substituting in 2 for x, the result would be 
. Problems like these can be solved using factoring as described below.
