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Consider the series 0O f (20 ) = n n=1 (i) What is the radius of convergence of this series? Write the letter i if the radius is infinite. (ii) Find the series expansion, centered at a = 0, for the derivative f/ (a) of f (ac) . What is the coefficient of a 14 in this series? (ii) What is the radius of convergence of the series for fi (a) ? Write the letter i if the radius is infinite. (iv) Find the series expansion, centered at x = 0, for a primitive / f (ac) dac of f (ac) . What is the coefficient of a ? ? (v) What is the radius of convergence of the series for / f (ac) dac ? Write the letter i if the radius is infinite.A function f (x) satisfies f (1) = 3, fi (1) = -3, fli (1) = 3, fill (1) = -1, ... What is the coefficient co in the Taylor series expansion of f (a) Co + c1 (2 - 1) + co (x - 1)2 + c3 (2 - 1)3 +