04. (2+3+ 3 =8 marks) Let P. (x) be the degree

04. (2 + 3 + 3 = 8 marks) Let Pn (x) be the degree equidistant points n polynomial that interpolates the function f (x) 1 4' e at the n Show that max a. b. c. n n Derive an upper bound for the error of interpolation Find the smallest n that would guarantee an error less than 10 6 over [0, 1].