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
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 11b
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37c
- Problem 37d
- Problem 38a
- Problem 38b
- Problem 38c
- Problem 39
- Problem 39b
- Problem 39b
- Problem 39c
- Problem 40
- Problem 41a
- Problem 41b
- Problem 42a
- Problem 42b