Textbook ExpertVerified Tutor
29 Nov 2021
Given information
Newton's method fails when applied to the equation 
with any initial approximation 
.
Step-by-step explanation
Step 1.
As per question,
Let us consider 
Now, differentiating the above equation with respect to 
, we get
, we get
We know that, Newton's method the next approximation will be
We see that the next approximation is twice as far away from zero and it fails to converge with the root.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- 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 23a
- Problem 23b
- Problem 24a
- Problem 24b
- Problem 25
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 26d
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34