Find the Maclaurin series for through the term

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Find the Maclaurin series for

f(x)=\displaystyle \frac{1}{(1 - x)(1 + 2x)}

through the

x^{3}

term, and state the interval of convergence.