Problem:
Find the second order expansion of the following function around 2:
$-\sin ^{-1}\left(\frac{x}{3}\right)$
Answer:
$-\frac{(x-2)^2}{5 \sqrt{5}}-\frac{x-2}{\sqrt{5}}-\sin ^{-1}\left(\frac{2}{3}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_expansion/41594.txt'}