Concept explainers
(a).
To Find: The value of a one-sided limit, both graphically and using L'Hôpital's Rule.
(a).
Answer to Problem 9E
The value of the limit is
Explanation of Solution
Given Information: The limit to be calculated is
Method:
Graphically: : Plot the graph of the expression in
Calculation:
(i)The graph of the expression is
In the above graph, from both the sides, the value of the expression approaches to
Therefore, the value of the limit is
(ii). Apply L'Hôpital's Rule to write
The limit determined using both the methods is indeed the same.
(b).
To Find: The value of a one-sided limit, both graphically and using L'Hôpital's Rule.
(b).
Answer to Problem 9E
The value of the limit is
Explanation of Solution
Given Information: The limit to be calculated is
Method:
Graphically: : Plot the graph of the expression in
Calculation:
(i)The graph of the expression is
In the above graph, from both the sides, the value of the expression approaches to
Therefore, the value of the limit is
(ii). Apply L'Hôpital's Rule to write
The limit determined using both the methods is indeed the same.
Chapter 9 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus and Its Applications (11th 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