Q 2: Halley's iterative method for solving a nonlinear equation f(x) = 0 can be written as 2f(xn)f'(xn) F(x-f(x)f"(x,)' Xn+1 = X - n20 Show that Halley's iterative formula for computing the square...

Extracted text: Q 2: Halley's iterative method for solving a nonlinear equation f(x) = 0 can be written as 2f(xn)f'(xn) F(x-f(x)f"(x,)' Xn+1 = X - n20 Show that Halley's iterative formula for computing the square root of a positive number K can be written as 3Kx, - x Xn+1 = x + K n20 Also, show that the rate of convergence of the last scheme is faster than quadratic.