(a)
To Find: The explanation for the given series no the Taylor series of
(a)
Answer to Problem 2E
The series is not the series of f that is centred at
Explanation of Solution
Given:
The given graph is shown in Figure 1
Figure 1
The given series is,
Calculation:
Consider that the series is the power series expansion that is centred at a then,
Then,
Then, from the general equation and from the equation 1 and 2.
From the graph it is seen that at
Thus, the series is not the series of f that is centred at
(b)
To Find: The explanation for the given series no the Taylor series of
(b)
Answer to Problem 2E
The series is not the series of f that is centred at
Explanation of Solution
Given:
The given series is,
Calculation:
Consider that the series is the power series expansion that is centred at a then,
Then,
Then, from the general equation and from the equation above.
From the graph it is seen that at
Thus, the series is not the series of f that is centred at
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