Presentation is loading. Please wait.

Presentation is loading. Please wait.

The Squeeze Theorem and Special Trigonometric Limits

Similar presentations


Presentation on theme: "The Squeeze Theorem and Special Trigonometric Limits"— Presentation transcript:

1 The Squeeze Theorem and Special Trigonometric Limits
AP Calculus September 9, 2016 Mrs. Agnew

2 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

3 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

4 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

5 Two Special Trig. Limits
The following “special” trigonometric limits are both direct results of the Squeeze Theorem: Examples…

6 Homework: 9/9/16 Page 68 # (odd) 74, 75, 76, 89, 93, 95


Download ppt "The Squeeze Theorem and Special Trigonometric Limits"

Similar presentations


Ads by Google