a.
To prove: The Function
Is not equal to its Maclaurin Series
a.
Explanation of Solution
Given information:
The Function
Formula used:
Maclaurin Series
Maclaurin series for
Proof:
Use, Maclaurin series for
However, looking at the definition of a Maclaurin series
Every derivative of
(b)
To graph: the function
(b)
Explanation of Solution
Given information: The Function
Graph:
Use graphing utility to graph the function,
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