Consider the equation x = x - f(x) /f'(x) and sup-pose that f'(x) 0 in an
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a. Show that if r is in [a, b] then r is a root of the equation x = x - f(x) /f'(x) if and only if f (r) = 0.
b. Show that Newton's Method is a special case of the Fixed-Point Algorithm, in which g'(r) = 0.
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