Question: Let f(x) = x 9 + x 3 + 5. (i) Prove that f has a single root x * in R. (ii) Write the

Let f(x) = x⁹ + x³ + 5.

(i) Prove that f has a single root x^* in R.

(ii) Write the Newton's Method for the numerical approximation of the root of f, for initial guess x₀ = 1, and compute the terms x₁, x₂ of the approximating sequence x₀, x₁, x₂, , that the method produces.

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