Problem:
Find the fifth order expansion about $x = 1$ of the composition $f(g(x))$ for $f(x) = \sqrt{x}$ and $g(x) = $\log (x)$
Answer:
$-\frac{71 (x-1)^5}{1920}+\frac{1}{24} (x-1)^4-\frac{1}{24} (x-1)^3+x-1$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_compose/43469.txt'}