To find : the radius of convergence of the given series.
Answer to Problem 55E
The radius of convergence is:
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 the radius of convergence is
Therefore, the interval of convergence is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
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