Problem:
Find the second order expansion about $x = -5$ of the composition $f(g(x))$ for $f(x) = e^x$ and $g(x) = $x^5$
Answer:
$\frac{625 (x+5)^2}{2 e^5}-\frac{3125}{e^5}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_compose/24141.txt'}