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The Squeeze Theorem and Special Trigonometric Limits
AP Calculus September 9, 2016 Mrs. Agnew
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Essential Question Essential Vocabulary
How can we evaluate a limit using the Squeeze Theorem? What are the implications of the IVT? Essential Vocabulary Squeeze Theorem Amplitude Intermediate Value Theorem
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The Squeeze Theorem If g(x) is squeezed, or sandwiched, between f(x) and h(x) near a, and if f and h have the same limit L at a, then g is forced to have the same limit L at a. If f(x) ≤ g(x) ≤ h(x) when x is a, and , then
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The Squeeze Theorem Hint to use the Squeeze:
Function behind the limit is really the product of two independent functions. Usually one of the functions is a trig function, and the other function acts as its amplitude. Graph the positive and negative amplitude function for visual. Examples
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Two Special Trig. Limits
The following “special” trigonometric limits are both direct results of the Squeeze Theorem: Examples…
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Homework: 9/9/16 Page 68 # (odd) 74, 75, 76, 89, 93, 95
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