Squeeze Theorem & Intermediate Value Theorem Section 1-3 continued

Properties Of Limits Trigonometric Functions 1. 2. 3. 4. 5. 6.

10) find 11) find

Squeeze (Sandwich) Theorem Let be functions satisfying for all x near c, except possibly at c. If Then

Squeeze Theorem pg 65

12) Show that

13) Find graphically

Special Trig Limits Memorize These!! = 0

14) Find

15) find

Intermediate Value Theorem A function that is exist for all real numbers x in the closed interval [a,b] takes on every value between A continuous function can not skip values

Intermediate Value Theorem An intuitive example An airplane takes off and climbs from 0 to 10,000 ft At some point the planes altitude was exactly 8371 ft. Existence of a zero: if and

16) Use the IVT to find the value c if the function exists for all real numbers on

17) If exists for all real x (continuous) and which of the following values must exist on the domain I. II. III.

Homework Page 67 # 27-34, 65-69 all Worksheet 1-3