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Determine whether the series is absolutely convergent.
\[\sum_{n=1}^\infty\frac{(-3)^n}{n^3}\]
\begin{align}
\lim_{n\rightarrow\infty} \left|\frac{a_{(n+1)}}{a_n}\right| &=\left| \frac{\frac{(-3)^{n+1}}{(n+1)^3}}{\frac{(-3)^n}{n^3} } \right|
\end{align}