Consider the root of function f(x) = x 3 ? 2x ? 5.The function can be rearranged in the form x = g(x) in thefollowing three ways: (a) x = g(x) = x3 ? x ? 5 (b) x =g(x) = (x 3 ? 5)/2 (c) x = g(x) = thirdroot(2x + 5) For each form,apply fixed-point method with an initial guess x0 = 0.5 toapproximate the root. Use the error tolerance = 10-5 toterminate the iteration. If the iteration does not converge within15 steps, stop and provide an explanation for the divergence. Keepat least 6 significant digits in your calculation.
