18.03.2011 13:23, Aaron S. Meurer пишет:
Of course the limit exists from either direction, but I think his point is that it doesn't 
exist in the normal sense (from any direction).  The real definition of a limit says that 
|x|<  δ, i.e., -δ<  x<  δ, implies |f(x) - L|<  ε.

Actually, SymPy computes limits from a single direction (from the right by 
default).  I think there was an issue once to implement limit from both 
directions (it would basically check '+' and '-' and return the result only if 
they matched), but I can't find it now.

Aaron Meurer

As I understand smichr/2084 is merged with master already?

So in master branch it is ok now:

In [2]: limit(abs(x)/x, x, 0, dir="+")
Out[2]: 1

In [3]: limit(abs(x)/x, x, 0, dir="-")
Out[3]: -1


--
Alexey U.

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