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Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote.

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Presentation on theme: "Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote."— Presentation transcript:

1 Calculus Section 2.5 Find infinite limits of functions Given the function f(x) = Find =  Note: The line x = 0 is a vertical asymptote.

2 examples Find the indicated limits.

3 examples Find the vertical asymptote for the function f(x) = To find the vertical asymptotes of a function set the denominator equal to zero.

4 Find the vertical asymptotes. f(x) = The values for which a rational function is undefined will give you the vertical asymptotes, unless they are also values for which the numerator is zero. They are then “holes” in the graph.

5 Find the vertical and horizontal asymptotes and any “holes” in the graph. f(x) = x 2 + 5x + 6 x 2 - x – 6

6 Find the following limits

7 Examples Find the limit

8 assignment Page 96 Problems 2 – 34 even Page 97 Problem 2


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