12 2 Evaluating Limits Algebraically PRECALCULUS Objectives Evaluate
12. 2: Evaluating Limits Algebraically PRE-CALCULUS Objectives: • Evaluate limits of polynomial and rational functions at selected points. • Evaluate limits of polynomial and rational functions at infinity.
What you need to watch for: �What kind of functions have undefined values? �Otherwise, you can just plug in the value to find the limit!
Example 1 Use the properties of limits to evaluate. A. B.
� Limits of polynomial and rational functions can be found by direct substitution, as long as the denominator of the rational function evaluated is not 0.
Example 2 Use direct substitution, if possible to evaluate. If not possible explain why. A. B.
C. D.
Homework Answers �
Example 3 A. Evaluate . B. Evaluate
Example 4 A. Evaluate B. Evaluate
Warm-Up �
Example 5 A. Evaluate B. Evaluate
Example 5 C. Evaluate D. Evaluate
Example 6 A. Evaluate B. Evaluate
Horizontal Asymptotes/Limits
C. Evaluate
Example 7 A. Write the first five terms of the sequence . Then find the limit of the sequence, if it exists.
B. Write the first five terms of the sequence . Then find the limit of the sequence, if it exists.
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