1. 2.1 Continued

2. Properties of Limits

3. Example 3

4. Example 4

5. Punchline  Look back at example 1. Find f(2)  Look at example 2. Find f(1)  To evaluate limits we can simply substitute as long as the function exists at the point in question!

6. Evaluating Limits  There are three possible outcomes when we evaluate limits  1: a number: that is the limit  2: #/0: the limit does not exist (DNE)  3: 0/0: this is the indeterminate form  This means you have to mess with it.

7. Examples  1:  2:  3:

8. Indeterminate form  Simplify, factor, and cancel  Eliminate radicals by multiplying by the conjugate  Simplify compound fractions and reduce

9. Homework  Pg 66 #7-14 all, 18, 19-23