topic: taylor polinomials source: ISBN 9781319055936 Page: 600-603 In Exercises 71-75, we estimate integrals using Taylor polynomials. Exer- cise 72 is used to estimate the error. 76. Prove by induction that for all k, dj ( (x - a) * ) k(k - 1 ) ... ( k - j + 1) (x - a) *-) dxj K ! k ! for k = j for k * j Use this to prove that T, agrees with f at x = a to order n