Answer Happy

Consider solving f(x) = 0 by applying the fixed point iteration method to
f'(2) 21 (2) [f(2)] (a) Show that if x, is a root of f(x) (i.e. f(x) = 0) then x, is a fixed point of g(x) (i.e. g(x) = x₂)). (b) Expand our analysis of Newton's method to show this method generally yields cubic convergence. g(x) = x -