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# Use the power series for f(x) = 1 / (1-x) to write the function g(x) = x^4 / (9 - x^2) as a power series.

Use the power series for f(x) = 1 / (1-x) to write the function g(x) = x^4 / (9 - x^2) as a power series. Show the answer as a summation with a lower index of n = 0, and simplify the summation to a single variable.