Concept explainers
(a)
To Prove: The for
(a)
Explanation of Solution
Given:
The given equation is,
Calculation:
Consider the formula is,
Then,
Also,
Thus, the only possible value for the limit is
(b)
To Prove: The equation is true
(b)
Explanation of Solution
Calculation:
Consider the equation is,
Then,
Then,
Since,
Hence, proved.
(c)
To Prove: The show that if
(c)
Explanation of Solution
Calculation:
Consider the given condition is,
Solve further as,
Since,
Then,
Since,
Then, by the comparison test,
Since,
Then,
Hence proved.
(d)
To Prove: The
(d)
Explanation of Solution
Calculation:
Consider that
For
Hence, the assumption that if
Chapter 8 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