ermine whén Néwtons method does hot Work
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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14
Transcribed Image Text:CURRENT OBJECTIVE
Determine when Newton's method does not work
Question
Using Newton's method, try to find a root of f(x) = 6x that is near x = 0 using an initial approximation xo = 6. Which of
the following statements describes what happens?
Select the correct answer below:
At one of the approximations x, we have f' (xn) = 0 but f(x,) # 0.
The approximations fail to approach a root at all.
The approximations approach a root outside the interval.
The approximations successfully approach the desired root.
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