To find: whether the series converges or diverges.
Answer to Problem 19E
Hence, it has not satisfied third condition of test. Thus, series diverges
Explanation of Solution
Given information:
Given expression:
Calculation:
The Alternating Series Test (Leibniz's Theorem):
The series
Converges if all the three of the following conditions are satisfied:
1. Each
2.
3.
Given series
Here,
Hence,
Since,
Thus,
Now,
Apply L' Hospital's rule
Since, it has not satisfied third condition of test. Thus, series diverges
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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