Concept explainers
Whether the given statement “when the degree of the numerator of a rational function is less than the degree of denominator, the limits at infinity do not exist” is true or false.
Answer to Problem 64E
The given statement false.
Explanation of Solution
Given information :
Given statement “when the degree of the numerator of a rational function is less than the degree of denominator, the limits at infinity do not exist”
The given statement is false as the degree of the numerator of a rational function is less than the degree of denominatorthen the limit always will exist and it equals to
Hence, the given statement is false.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning