1. Limits at Infinity and Limits of Sequences
Section 12.4
Limits at Infinity and Limits of Sequences

2. Objective By following instructions students will be able to:
evaluate limits of functions at infinity.
Find limits of sequences.

3. Limits at Infinity

4. Definitions of Limits at Infinity

5. Limits at Infinity

6. EXAMPLE 1:
Find the limit.

7. EXAMPLE 2:
Find the limit as x approaches infinity for each of the following functions. a) b) c)

8. Limits at Infinity for Rational Functions

9. EXAMPLE 3:

10. Limits of a Sequence

11. EXAMPLE 4:
Find the limit of each of the following sequences. a) b) c)

12. EXAMPLE 5:
Find the limit of the sequence whose nth term is

13. Objective Did we… evaluate limits of functions at infinity?
Find limits of sequences?

14. Homework
Pg 841 #s 1-37 ODD