Question: The function x3 2x2 4x + 8 has a double root at x = 2. Use (a) The standard Newton-Raphson [Eq. (6.6)], (b)

The function x3 – 2x2 – 4x + 8 has a double root at x = 2. Use

(a) The standard Newton-Raphson [Eq. (6.6)],

(b) The modified Newton-Raphson [Eq. (6.9a)], and

(c) The modified Newton-Raphson [Eq. (6.13)] to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of x0 = 1.2.

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