3. Let f(x) = 1+x+x+x3+ri+p. (a) (1 mark) Find T3(x), the Taylor polynomial of f at x = 0 with degree 3 by using the definition of Taylor polynomials. (b) (1 mark) Find the remainder R3(r) = f(x) - Ta(x). (c) (1 mark) Find the maximum value of f(4)(x) on the interval (x| $ 0.1. (d) (2 marks) Justify that Taylor's inequality holds true for R3(0.1) using your result from the previous