(a) Apply the Newton-Raphson method to the function (x) = tanh(x2 9) to evaluate its known...

(a) Apply the Newton-Raphson method to the function ƒ(x) = tanh(x2 – 9) to evaluate its known real root at x = 3. Use an initial guess of x0 = 3.1 and take a minimum of four iteration.

(b) Did the method exhibit convergence onto its real root? Sketch the plot with the results for each iteration labeled.