Please use matlab code to answer Question 4

3. lProve that if Newton's method is used on a function f for which f"is continuous and f(r)04 f'(r), then lim,oo en +1er2 exists and equals f"(r)/[2/(r), How can this fact be used in a program to test whether convergence is quadratic? 2 4. (Steffensen's method) Consider the iteration formula Xn+1 = Xn-f (xn) / g(%) where g(x) If(x +f(x))- f (a)l/f(x) Show that this is quadratically convergent, under suitable hypotheses. %) What ie la