2 Jan 2022
Problem 20
Page 616
Section 8.7: Taylor and Maclaurin Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
2 Jan 2022
Given information
The given function is 
.
To prove: the series obtained in Exercise 16 represents for all 
.
Step-by-step explanation
Step 1.
Given that 
centered at 
, so 
or 
.
centered at , so or .For all cases, 
. Take 
in Taylor's Inequality where 
is the remainder of the Taylor's Series.
. Take in Taylor's Inequality where is the remainder of the Taylor's Series.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- 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 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 42a
- Problem 42b
- Problem 43
- Problem 44
- Problem 44a
- Problem 44b
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68a
- Problem 68b
- Problem 69a
- Problem 69b
- Problem 69c
- Problem 70