9 Nov 2021
Problem 45
Page 584
Section 8.3: The Integral and comparison Tests; Estimating Sums
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
9 Nov 2021
Given information
Given 
and 
Step-by-step explanation
Step 1.
Rearrange the limit function 
Let 
, therefore the above equation becomes 
Given and so, 
Analyze that then 
Apply Limit comparison test, 
and 
be two series of positive real numbers and 
, where 
is a finite number and 
then either both series converge or both diverge.
Provided 
is divergent by 
-series test
Therefore is also divergent
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- 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 32a
- Problem 32b
- Problem 32c
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39a
- Problem 39b
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46