Question: Show that when Newtons method is applied repeatedly, the nth approximation is obtained from the (n 1)st approximation by the formula XnXn-1 f(xn-1) f'(xn-1)

Show that when Newton’s method is applied repeatedly, the nth approximation is obtained from the (n − 1)st approximation by the formula


XnXn-1 f(xn-1) f'(xn-1) n = 1, 2, 3, ...

XnXn-1 f(xn-1) f'(xn-1) n = 1, 2, 3, ...

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