7 Jan 2022
Problem 11b
Page 626
Section 8.8: Application of Taylor Polynomials
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
7 Jan 2022
Given information
Th given function is 
.
To find the accuracy of the approximation.
Step-by-step explanation
Step 1.
Since 
, two derivatives were taken to find 
. Find the next derivative because it is part of the error (remainder) function.
Find the value of 
such that 
for every 
in the given interval.
such that for every in the given interval.Since 
is a fraction with a constant numerator, the largest value of 
occurs when its denominator is smallest.
is a fraction with a constant numerator, the largest value of occurs when its denominator is smallest.Substitute the smallest -value of the given interval into 
to find .
-value of the given interval into to find .
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 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 14a
- Problem 14b
- Problem 15a
- Problem 15a
- Problem 15b
- Problem 16a
- Problem 16a
- Problem 16a
- Problem 16b
- Problem 17a
- Problem 17b
- Problem 18a
- Problem 18b
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28a
- Problem 28b
- Problem 29
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31a
- Problem 31b
- Problem 31c
- Problem 32a
- Problem 32b
- Problem 32b
- Problem 32c
- Problem 33