Concept explainers
(a)
To find: The expression for
(a)
Answer to Problem 20P
Solution:
The expression is,
Explanation of Solution
Given:
Calculation:
Base case:
To prove that the statement is true for
Therefore, the statement is true for
Induction hypothesis:
Assuming that the claim is true for
That is,
Inductive step:
To prove the statement is true for
Substitute
Substitute
Substitute
Thus, the general formula is
The claim is true for
To prove the statement is true for
Therefore, that is true for
Thus,
(b)
To graph: The function
(b)
Explanation of Solution
Graph:
The graph of the functions are shown below in Figure 1.
From Figure 1, if the value of n increased, then the vertical asymptotes moves to
If the value of
The
The
Chapter 1 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