Problem:
Find the eighth order expansion of the following function around 8:
$\sqrt[3]{x}$
Answer:
$\begin{cases}
 \sqrt[3]{x} & x>0 \\
 -\sqrt[3]{-x} & \text{True}
\end{cases}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_expansion/33563.txt'}