3. Let f(r) = 1+x + x² + x³ + x* + x°. (a) definition of Taylor polynomials. Find T3(x), the Taylor polynomial of f at r = 0 with degree 3 by using the (b) Find the remainder R3(x) = f(x) – T3(x). (c) Find the maximum value of f(4) (r) on the interval |r|< 0.1. (d) the previous question. Justify that Taylor's inequality holds true for R3(0.1) using your result from

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