) Let f(x) = x 4 + x 3 + x 2 + x + 1 (a) Use Taylor’s theorem to compute the remainder R2(x) in terms of a value c that lies between 0 and x. (b) Give an upper bound on the error assuming x ∈ [−4, 4] (c) Compute the exact value of c (in terms of x) so that R2(x) from the prelab and R2(x) in part (a) agree.