2. (a) Let f(3-1. Apply Newton's method with initial estimate Po 2.5 to generate a sequence of estimates p1,P2, ps,Pa for a root of f. You need only write down pa, accurate to 6 decimal places. (b) The function h(x)32 has roots at 0 and 3. Characterize the convergence of Newton's method to each of these roots of h