Problem:
Find the second order expansion of the following function around 2:
$-\tan ^{-1}(5 x)$
Answer:
$-\frac{625 (x+5)^2}{391876}-\frac{5 (x+5)}{626}+\tan ^{-1}(25)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_expansion/26548.txt'}