24 Nov 2021
Problem 36
Page 604
Section 8.6: Representations of Functions as Power Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
24 Nov 2021
Given information
Given function, 
.
Step-by-step explanation
Step 1.
Consider the series, 
, the nth term is 
Comparing with the series with nth term, 
.
As 
, and 
is a convergent series.
Thus, by comparison test, is also a convergent series for all values of 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 12a
- Problem 12b
- Problem 12c
- 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 33a
- Problem 33b
- Problem 34a
- Problem 34b
- Problem 35a
- Problem 35b
- Problem 36
- Problem 37
- Problem 38a
- Problem 38b
- Problem 38c
- Problem 39
- Problem 40a
- Problem 40b