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Mathematics, 04.04.2020 02:59 yesimabadbih5147

A function f is defined by f(x) = 1 + 8x + x2 + 8x3 + x4 + ⋯ that is, its coefficients are c2n = 1 and c2n + 1 = 8 for all n ≥ 0. Find the interval of convergence of the series. Find an explicit formula for f(x).

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