3. Let f(x) = 1+x + x² + x³ + x“ + x5. (a) definition of Taylor polynomials. Find T3(x), the Taylor polynomial of f at x = 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) (x) on the interval |æ| < 0.1.

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