1. MAT 1234 Calculus I Section 3.4 Limit at infinity http://myhome.spu.edu/lauw

2. Next Quiz 3.3, 3.4 Exam 2 on Friday. Please study!

3. Exam 2 Tutoring Record Pease give it to Kirsten. Make sure your name is on it. Get a new one for exam 3!

4. Preview

7. Caution on infinity

8. Example 1

9. Example 2

10. Example 3 horizontal asymptote

11. Remarks In the example above, the graph suggests what the limit should be. We will use the following theorem to compute limits. (Graphs are used as confirmations.)

12. Theorem

13. Example 4

14. Example 5

15. Example 6 Find the limit

16. Example 6

18. Example 7

19. Example 8

20. Remark

21. Note that we did not and cannot use the limit laws in this example. We used an “educational guess” which is acceptable for these type of problems at this level. If you want to see a better solution, which are not required for this class, it is in the next slide (hidden).

22. Example 8 (Hidden)

23. Example 9

25. Why?

26. Example 9 Correct Version