The internal of the convergence of the series
Answer to Problem 42E
The Interval of convergence is
Explanation of Solution
Given information:
The given series is
Formula used:
Calculation:
The series of absolute values is
The ratio Test let
Then, the series converges if L < I, the series diverges if L >1 and the test is inconclusive if L=1
Using the ratio test, we check for absolute convergence as follows,
The series converges absolutely for all real numbers.
(a) Interval of convergence:
(b) Series converges absolutely on
(c) None
Conclusion:
The Interval of convergence is
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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