Concept explainers
To estimate: The value of
Answer to Problem 48E
The exact value of
Explanation of Solution
Use the online graphing calculator and draw the graph of
From Figure 1, it is identified that curve approaches approximately 0.55 as x approaches 0.
Find the exact value with the help of L’Hospital’s rule as follows.
Obtain the value of the function as x approaches
As x approaches
As x approaches
Thus,
Therefore, apply L’Hospital’s Rule and obtain the limit.
Simplify further as follows.
Thus,
Therefore, the exact value of
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