1. 2.6 Trigonometric Limits Fri Sept 25 Do Now Evaluate the limits

2. HW Review p.94 #1-17 37 39 1) 1217) 1/8 3) 037) 12 5) 1/1439) -1 7) -1 9) 11/10 11) 2 13) 1 15) 2

3. Factoring Trigonometric Limits Rewriting limits in terms of sinx and cosx can help to eliminate factors EX:

4. EX 2 Evaluate

5. The Squeeze Theorem Suppose that for all x in some interval (c,d), and that where L is a number Then, it follows that Since g(x) is “squeezed” by the other 2 functions, its limit must be the same.

6. Squeeze Theorem This theorem is good for products with sinx and cosx, because we know the range EX:

7. Ex 2 Evaluate using the Squeeze Theorem

8. You Try Evaluate the limits 1) 2) 3) 4)

9. Closure What kind of methods can we use to help evaluate limits? Describe one. HW: p.94 #27 28 p.99 #7 8 9 11 –2.3 2.5 2.6 Quiz Wed

10. 2-3 2-5 2-6 Review Mon Sept 28 Do Now Evaluate each limit 1) 2)

11. HW Review: P.94 27) 1 28) 0 P. 99 7) 0 8) 0 9) 0 11) 0

12. Quiz Review (On Fri) Ways to evaluate a limit: –Plug into function (IF DEFINED) –Factor and cancel undefined factor –Multiply by conjugates –Squeeze Theorem –Graph/Table (may not be accurate)

13. Practice (Green book) Worksheet p.100 #5-24

14. Limit Review Tues Sept 29 Find the limit of each

15. Worksheet p. 100 5-27 odds 5)119) 0 7)7^(1/2)21) 2 9)-3/823) 2 11) 525) 9 13) 3/427) 4 15) 3/4 17) 1

16. HW Review p.100 6-26 evens 6) -120) e 8) 5^(1/3)24) 1/4 10) -1/426) 0 12) -322) 1 14) -1/3 16) 1/6 18) -1

17. Closure Besides plugging in values, what limit method do you like best? Worst? Why? 2.3, 2.5, 2.6 Quiz Wed