Comment #9 on issue 3638 by [email protected]: Automatic series
expansion while applying a function?
http://code.google.com/p/sympy/issues/detail?id=3638
What's a reasonable cutoff for factorial?
I don't think there is, sounds like a joke.
Yes, it's just a bug. It isn't implemented as smart as it should be.
My point, that either we should evaluate expr(x)*O(x**n) things
automatically (and we can be smart here), or don't evaluate this at all.
If we choose first - probably, we should handle expr(x) + O(x**n) and
f(expr(x)+O(x**n)) as well.
log(1 + O(x**2)).series() doesn't work for me.
log(1+O(x**2)) works with sauto.patch. In master - yes, it shows
error "Could not calculate 6 terms for log(1 + O(x**2))". But for n=2 - it
works.
n.b.: "Could not calculate 6 terms for log(1 + O(x**2))" - I'm not sure
whether it's a bug or not. According to docs, it's ok to raise an
exception: "Returns the series expansion of "self" around the point ``x =
x0`` with respect to ``x`` up to O(x**n) (default n is 6)."
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