Question: Let where the coefficients are C 2n = 1 and C 2n + 1 = 2 for n 0. (a) Find the interval of

Let

g(x) = 1 + 2x + x + 2x + x4 +

where the coefficients are C2n = 1 and C2n + 1  = 2 for n ≥ 0.

(a) Find the interval of convergence of the series.
(b) Find an explicit formula for g(x).

g(x) = 1 + 2x + x + 2x + x4 +

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