we consider the series in attachment (i)what is the radius of convergence of this series ? (ii)Compute the series expansion of the derivative f'(x) of f(x) around x =0. what is the coefficient of x ^8 of this series ? (iii)what is the radius of convergence of the series for f'(x)? (iv) Calculate the series expansion of a primitive of integral f(x)dx of f(x) around x =0. what is the coefficient of x^16? (v)what is the radius of convergence of the series for integral f(x)dx?

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