a Fill in the blanks with the coefficient f x x6x4 2 x 1 x 1 CO C1 C2 Hint Use Taylor s Theorem to find the Taylor series of the

Question

a Fill in the blanks with the coefficient f x x6x4 2 x 1 x 1 CO C1 C2 Hint Use Taylor s Theorem to find the Taylor series of the function f at x 1 You must show detailed work for the calculation of each coefficient b Use the binomial series to expand the function as a power series 1 x co c x c x 3x x x 1 x 1 4 C3 Cn Must show a compact nice form of Cn Strongly recommend that you do not combine calculate the exact value of C1 C2 C3 so that you can see the pattern for Cn

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