To find: Whether the series is convergent or divergent.
Answer to Problem 16RE
The series is convergent.
Explanation of Solution
Given:
The series is
Calculation:
Since
Also,
Take the reciprocal on both sides of the expression
From the equation (1) and (2),
The comparison tests states that if
The series
Also a series of the form
Therefore,
Combine the equation (3) and the comparison test.
Thus, the series is convergent.
Therefore, the series
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning