To find: the series converges absolutely converges conditionally or diverges.
Answer to Problem 23E
Conditionally converges
Error
Explanation of Solution
Given:
Calculation:
Alternating series test:
The limit of the terms tends to zero.
Each successive term (without the sign) is smaller than the previous term.
So it converges.
To test for absolute convergence
The original series converges and it doesn’t converge absolutely, so it conditionally converges.
Using the alternative series estimation theorem, therefore
Hence, the correct option is (b)
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Precalculus
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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