Problem:
Find the third order expansion of the following function around 3:
$\sin (2 x)$
Answer:
$-2 (x-1)^2 \sin (2)-\frac{4}{3} (x-1)^3 \cos (2)+2 (x-1) \cos (2)+\sin (2)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_expansion/18327.txt'}