5. Consider Newton's method for solving the nonlinear equation m) = :32 a = 0 Where a > 0 whose two roots are :t. (a) Should the iterates {xn} for satisfy 1 xn+1 : ($n | a/xn). (b) Let 0: : . Show that zen\" oz : (mm (XV/(2:17\"). (0) Suppose that :60 > 0. Show that for n 2 1, i. o: