To calculate:The asymptotes to the graph of the given function.
Answer to Problem 51E
Horizontal asymptotes:
Explanation of Solution
Given information:
A function graph is given as,
Concept used:
Horizontal Asymptotes: The line
L'Hospital's Rule: If
This rule is also applicable when
Calculation:
Given function graph is,
Here limit converts into an indeterminate form of
L'Hospital's Rule is applicable here.
Using L'Hospital's Rule,
Hence, value of given limit function is
Hence, horizontal asymptotes for the given function graph would be
Using a graphing calculator graph of the function is drawn as below.
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning