Concept explainers
To evaluate: The value of
Answer to Problem 3P
The limit of the function is –4.
Explanation of Solution
Definition used:
An absolute function
Calculation:
Obtain the value of the limit of the function
Consider the function
From the definition of absolute function,
This follows that,
This implies that,
When x approaches 0, then
Similarly, when x approaches 0, then
Thus, the function
Take the limit of the function as x approaches zero.
Simplifying further,
Thus the value of the limit of the function is –4.
Chapter 2 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