Question 5 We apply Newton's method to f(x) = x² – 1 with starting point xo = -5 . Which of the following statements is correct? Note: It might be helpful to graph f . Newton's method will converge to the root r = 1 Newton's method will converge to the root r = -1 O Newton's method doesn't work because f'(xo) = 0 (i.e. parallel tangent line)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Question 5
We apply Newton's method to f(x) = x² – 1 with starting point xo = -5 .
Which of the following statements is correct?
Note: It might be helpful to graph f .
Newton's method will converge to the root r = 1
Newton's method will converge to the root r = -1
O Newton's method doesn't work because f'(xo) = 0 (i.e. parallel tangent line)
Transcribed Image Text:Question 5 We apply Newton's method to f(x) = x² – 1 with starting point xo = -5 . Which of the following statements is correct? Note: It might be helpful to graph f . Newton's method will converge to the root r = 1 Newton's method will converge to the root r = -1 O Newton's method doesn't work because f'(xo) = 0 (i.e. parallel tangent line)
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