To find : the value of
Answer to Problem 61E
The value of
Explanation of Solution
Given information:
Given expression is :
Calculation:
The given series is
The series of absolute values is
The ratio Test Let
Then, the series converges if
Using the ratio test, we check for absolute convergence as follows:
The series converges absolutely for
And diverges for
And when
This converges by the Altemating Series Test.
And when
This diverges by the Direct Comparison Test, since
The original series converges for
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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