Apply Newtons method to (x) x 1 3 with x 0 1 and calculate x 1 , x 2 , x 3 , and x 4 Find a formula for x n What happens to xn as n Draw a picture that shows what is going on

Question: Apply Newtons method to (x) = x 1/3 with x 0 = 1 and calculate x 1 , x 2 , x 3 , and

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

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