Suppose that f(3) = f'(c) = 0, so that f has a double root at 5, and that f" is defined and continuous in a neighborhood of 3. Let (x) be a sequence obtained by Newton's method. (a) Show that 1 (8 - xx) " (1k) (5-xx) 1 2 3-*x+1 where 1 and X both lie between and xx. f" (nk) f" (xx) (b) Suppose, further, that 0