2.6 Trigonometric Limits Fri Sept 25 Do Now Evaluate the limits

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

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

EX 2 Evaluate

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.

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

Ex 2 Evaluate using the Squeeze Theorem

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

Closure What kind of methods can we use to help evaluate limits? Describe one. HW: p.94 #27 28 p.99 # – Quiz Wed

Review Mon Sept 28 Do Now Evaluate each limit 1) 2)

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

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)

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

Limit Review Tues Sept 29 Find the limit of each

Worksheet p 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

HW Review p 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

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