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AP Calculus AB Chapter 3, Section 5 Limits at Infinitiy 2013 - 2014.

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Presentation on theme: "AP Calculus AB Chapter 3, Section 5 Limits at Infinitiy 2013 - 2014."— Presentation transcript:

1 AP Calculus AB Chapter 3, Section 5 Limits at Infinitiy 2013 - 2014

2 Limits at Infinity

3 Horizontal Asymptotes

4 Horizontal Asymptote Tricks If the higher degree is on top, there is no horizontal asymptote. If the higher degree is on bottom, the horizontal asymptote is y = 0. If the degree of top and bottom is the same, the horizontal asymptote is the ratio of the leading coefficients.

5 Limit properties

6 Finding a Limit at Infinity

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11 Functions with 2 Horizontal Asymptotes

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13 Limits Involving Trigonometric Fuctions

14 Oxygen Level in a Pond

15 Ch. 3.5 Homework Pg. 205 – 207, #’s: 3, 5, 7, 15, 17, 21, 27, 33, 59, 89 10 total problems


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