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3.5 Notes analytical technique for evaluating limits of rational functions as x approaches infinity.

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Presentation on theme: "3.5 Notes analytical technique for evaluating limits of rational functions as x approaches infinity."— Presentation transcript:

1 3.5 Notes analytical technique for evaluating limits of rational functions as x approaches infinity

2 3.5 Notes Procedure for evaluating limits of rational functions where x approaches infinity. 1.Divide the rational function. a.If the degree of the numerator is less than or equal to the degree of the denominator, then divide each term in the expression by the variable in the expression with the greatest exponent. b. If the degree of the numerator is greater than the degree of the denominator, then divide the numerator by the denominator. 2.Evaluate the limit of each term of the quotient and find the sum of the limits.

3 3.5 Notes

4 3.5 Notes – Example Problem 1

5 3.5 Notes – Example Problem 2

6 3.5 Notes – Example Problem 3

7 3.5 Notes – Practice Problems Evaluate the limit. 1. 2. 3.

8 3.5 Notes – Practice Problem 1

9 3.5 Notes – Practice Problem 2

10 3.5 Notes – Practice Problem 3


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