Apply Newtons method to (x) = x 1/3 with x 0 = 1 and calculate x 1

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Apply Newton’s method to ƒ(x) = x1/3 with x0 = 1 and calculate x1, x2, x3, and x4. Find a formula for |xn| . What happens to |xn| as n→∞? Draw a picture that shows what is going on.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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