Concept explainers
Whether the statement,
Answer to Problem 1RQ
The statement is false.
Explanation of Solution
Difference law: Suppose that the limits
Then
Reason:
Let the function
Then, by the
That is,
The limit
It is in indeterminate form. Thus, the limit does not exists.
The limit
Since it is in an indeterminate form, the limit does not exist.
Since the individual limit does not exist, the difference law cannot be used here.
Therefore, the statement is false.
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