There is a relationship between the coefficients of the power series f(x) = En oan (x-a)...

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There is a relationship between the coefficients of the power series f(x) = En oan (x-a)" and its derivatives. an = f(n)(a)/n!, n = 0, 1, 2,.... Problem Suppose that there is a power series f(x) whose first few terms are f(x) = x + x² + x³/3 - x³/30 - x6/90... Then f(5) (0) = There is a relationship between the coefficients of the power series f(x) = En oan (x-a)" and its derivatives. an = f(n)(a)/n!, n = 0, 1, 2,.... Problem Suppose that there is a power series f(x) whose first few terms are f(x) = x + x² + x³/3 - x³/30 - x6/90... Then f(5) (0) =

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