5. "' Let f: [0,1] a R be given by r.) : (2') Show that f is a contraction. %(;r.5+1). (22') Apply the x point theorem to ShOW that the sequence rn+1 : x\"), with 1.0 E (0, 1) converges to a. root of the equation 175 7 5;? + 1 : 0