Comment #5 on issue 3638 by [email protected]: Automatic series
expansion while applying a function?
http://code.google.com/p/sympy/issues/detail?id=3638
Do any functions currently automatically evaluate at series?
No (but some other CAS do), but is this too different from already
implemented eval()'s?
Maybe I'm mistaken, but doesn't it require computing a power series in
the general case?
Yes. Things like (1+x+O(x**2))**3 should be evaluated to 1+3*x+O(x**2).
Same for sin(x)*O(x) or sin(x)+O(x**2). There is a lot of todo work. That
not a PR.
log(sin(x) + O(x**2)) (which doesn't seem to work actually)
Yes. There is a real bug too: log(x+O(x**2)), thanks.
What's so bad about calling series() again if you want a power series.
Then what's so good to keep things like sin(x)*O(x**2) or sin(tan(O(x)))?
When and why we clearly want to hold this as unevaluated and that does
matter something (e.g. mathematically)?
so doesn't this often represent a poor workflow anyway?
Well, may be. But for me it's not clear why.
ValueError: Could not calculate 6 terms for log(sin(x) + O(x**2))
BTW, that's not a bug?!
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