To find: The Maclaurin series of
Answer to Problem 6E
The Radius of convergences of is
Explanation of Solution
Given information: A maclaurin series is a Taylor series expansion of a function about
By definition, the maclaurin series is
Calculation:
Now, we have to find the derivatives
Hence,
The expansion is,
.......so on.
Now from
Hence, the maclurin series for
The coefficient of equation
The Radius of convergences
Here,
Hence, The Radius of convergences of is
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