Whether the series converges conditionally, converges absolutely, or diverges.
Answer to Problem 29E
The series is conditionally convergent.
Explanation of Solution
Given information:
The series is alternating.
Then
Check for absolute convergence by considering the series of absolute values:
Such that
Thus,
And
Hence,
The series is not absolutely convergent.
Now,
Check for the conditional convergence:
Then
Such that
Therefore,
The series is conditionally convergent.
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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