2. Derive the error formula for Newton's method |P - Pn+| ≤ M - p - Pn|² 2|f'(Pn)| assuming the hypothesis of Theorem 2.6 hold, that f'(Pn) #0, and M = max|f"(x) [Hint: Use the Taylor polynomial as in the derivation of Newton's Method in the beginning of this section.]

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