9 Nov 2021
Problem 32
Page 592
Section 8.4: Other Convergence Tests
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
9 Nov 2021
Given information
Given alternating series
Step-by-step explanation
Step 1.
Rewrite the given series in generalized alternating form as
Observe the series converges if
for all
Compare from above then,
Test the condition of convergence and is decreasing sequence
Analyze that if the absolute value of the series converges, then the series converges absolutely
Therefore, the series is absolutely convergent