Problem:
Find the fifth order series of the inverse of the following function around 5:
$\sin ^{-1}\left(\frac{7 x}{2}\right)$
Answer:
$\frac{x^5}{420}-\frac{x^3}{21}+\frac{2 x}{7}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_inverse/6446.txt'}