Present two examples in which successive repetitions of the NewtonRaphson algorithm do not approach a root. Apply
Question:
Present two examples in which successive repetitions of the Newton–Raphson algorithm do not approach a root. Apply the Newton–Raphson algorithm to the function f (x) = x1/3 whose graph is drawn in Fig. 10(a). Use x0 = 1.
Transcribed Image Text:
f(x) = x-¹/3 (a) 21 f(x) 5 Figure 10 1 2 √2x (b) + 1 for x $ 0 for x,0
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Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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