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Squeeze Theorem & Intermediate Value Theorem

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Presentation on theme: "Squeeze Theorem & Intermediate Value Theorem"— Presentation transcript:

1 Squeeze Theorem & Intermediate Value Theorem
Section 1-3 continued

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

3 10) find 11) find

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

5 Squeeze Theorem pg 65

6 12) Show that

7 13) Find graphically

8 Special Trig Limits Memorize These!! = 0

9 14) Find

10 15) find

11 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

12 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

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

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

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


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