The functions f (x) = x 2 - 4 and g (x) = (x - 2) 2
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The functions f (x) = x2 - 4 and g (x) = (x - 2)2 both have a zero at x = 2. Apply the Newton–Raphson algorithm to each function with x0 = 3, and determine the value of n for which xn appears on the screen as exactly 2. Graph the two functions and explain why the sequence for f(x) converges so quickly to 2, whereas the sequence for g(x) converges so slowly.
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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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