Limits

Factoring

Factoring is the breakdown of a mathematical term into smaller and simpler mathematical terms. When factoring for limits, some of the factors will cancel and you will not be left with picture.

Example:
picture picture  However, if you factor the numerator it would result in picture The term picture would cancel on the top and the bottom leaving you with picture picture which can be found by substitution as 4.

Other examples:

2.1   picture picture 
       picture 
       picture 
       picture 
       picture 

2.2   picture picture 
       picture 
       picture 
       picture 
       picture 

Try the ones below for practice.

2.3   picture picture 
       picture 
       picture 
       picture 
       picture 

2.4   picture picture 
       picture 
       picture 
       picture 
       picture  

2.5   picture picture 
       picture 
       picture 
       picture 
       picture 

2.6   picture picture
       picture 
       picture 
       picture 
       picture