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Squeeze Theorem & Intermediate Value Theorem
Section 1-3 continued
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Properties Of Limits Trigonometric Functions 1. 2. 3. 4. 5. 6.
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10) find 11) find
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Squeeze (Sandwich) Theorem
Let be functions satisfying for all x near c, except possibly at c. If Then
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Squeeze Theorem pg 65
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12) Show that
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13) Find graphically
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Special Trig Limits Memorize These!! = 0
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14) Find
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15) find
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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
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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
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16) Use the IVT to find the value c if the function
exists for all real numbers on
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17) If exists for all real x (continuous) and
which of the following values must exist on the domain I II III.
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Homework Page 67 # 27-34, all Worksheet 1-3
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