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 transcript:

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

examples Find the indicated limits.

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

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.

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

Find the following limits

Examples Find the limit

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