1. Introduction to the Concept of a Limit
Section 2.1

2. Determine the Behavior
What happens to the values of the function as the x values get very close to 9?

3. Determine the Behavior (2)
What happens to the values of the function
as the x values get very close to 5?

4. Determine the Behavior (3)
What happens to the values of the function
as the x values get very close to 2?

5. Definition of Limit

6. Properties of Limits

7. Properties of Limits (continued)

8. Properties of Limits (continued)

9. Sandwich Theorem

10. “Famous Limits”

11. Terms and Concepts Be able to… Calculate one-sided limits
Evaluate limits involving infinity
Find limits numerically, algebraically, and graphically.
Note that…
If the two one-sided limits do not agree, the overall limit does not exist.
If a limit does not exist, you should try to describe the behavior.