To find: Whether the given series converges or diverges.
Answer to Problem 16E
The given series is convergent.
Explanation of Solution
Given information:
Calculation:
The direct comparison test and the
To get an upper bound for the given series, first rewrite the general term.
Thus, providing an upper bound for the series based on the preceding step:
Since,
Using the
Using the direct comparison test, determining the given series converges based on the previous steps:
Therefore, the given series
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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