>>> from sympy import Symbol, oo, simplify
>>> x = Symbol('x', real=True)
>>> simplify( x*oo )
oo*x

Do we use extended real number system(Affinely Extended Real Number System) 
in sympy ?
If we do use them, then why not expressions like these  "x*oo" evaluated to 
a Piecewise function like 
>>> Symbol('x')
>>> simplify( x*oo )
Piecewise( ( -oo, x< 0 ), ( oo, x > 0), (Nan, x==0 ))       # i expect this 
to happen.

Gaurav Dhingra

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