Let pn be the interpolating polynomial of degree at most n for sin(x) over the interval [0, 1] with node points where j = 0, . . ., N. xj = j Give an upper bound on the error in approximating sin(x) by pn over the interval [0, 1]. How large must n be to ensure |sin(x) P(x) < 10-7 for all x = [0, 1]