Updates:
Status: Accepted
Labels: Series
Comment #1 on issue 2071 by asmeurer: Wrong limit result with expressions
containing sin/cos
http://code.google.com/p/sympy/issues/detail?id=2071
Interesting. The limit(x**(2/3)*sin(x**2)/(x-1), x, oo) one works in my
integration3 branch (issue 2010), because of my hack commit that removed
algebraic substitution from exp (I know this because I bisected it down to
that commit). Also, it doesn't seem to matter if I use 2/3 or S(2)/3, but
I would recommend using the latter. If you can give sympy an exact
rational number, it is much preferred to a floating point one. See
http://docs.sympy.org/gotchas.html#python-numbers-vs-sympy-numbers.
Also, the only difference I get for any of them when setting x to be real
over just leaving it as complex is that
limit(x**(2/3)*sin(x**2)/(x-1), x, oo) gives nan in master when x is real
and a traceback when it complex.
The sin(x) one fails in both master and my branch (regardless of whether x
is real or not), so it must be related to something different. I don't
know if the limit algorithm is designed to give nan when there isn't a
limit. It would be a nicer than a traceback, though.
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