Problem:
Find the third order expansion about $x = 0$ of the composition $f(g(x))$ for $f(x) = \sin (x)$ and $g(x) = $e^x$
Answer:
$-\frac{x^3}{3}-\frac{x^2}{2}-1$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_compose/43751.txt'}