Thank you. On Monday, September 7, 2015 at 10:52:12 AM UTC+3, Kalevi Suominen wrote: > > > > On Monday, September 7, 2015 at 9:37:58 AM UTC+3, Paul Royik wrote: >> >> I see this error when try to calculate limit of (-1)^x /sqrt(x) as x >> approaches infinity. >> Can somebody explain me what is the problem here? >> > > ``(-1)^x`` is equal to ``exp(pi*I*x)``. As the function has no serial > expansion at infinity, SymPy attempts to use Gruntz' algorithm. It is > intended tor real functions, and SymPy assumes that everything is real. It > knows that ``pi`` is real and positive and the same is assumed of ``x``. > That leaves just one problem: what is the sign of I. > > Actually, there is currently no algorithm in SymPy capable of computing > the limit (which is 0 as ``x`` tends to ``oo`` on the real line), >
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