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Let f(x) = 1/(1-2x).

a. Find the first five terms in the Taylor series about x = 0 for f(x).

b. Find the interval of convergence for the series in part (a).

c. Use partial fractions and the result from part (a) to find the first five terms in the Taylor series about x = 0 for g(x) = 1/(1-2x)(1-x).

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