Problem A Let g [a,b][a,b] and p in [a,b] be a fixed point for g. Use the textbook notation to indicate the approximations generated by the Steffensen's method (k) Pi=0,1,2, k = 0,1,2,... and define (k) 9k Po k=0,1,2,.... (i) Show that the sequence {9} is generated by a fixed-point iteration associated with the function G(x)=x- (g(x)-x) g(g(x)) -2g(x)+x' xp. (ii) Assume g C [a, b] and g'(p) 1. Show that limp G(x) = p.