> No, no, it is continuous  because the limit when x-->0 exists (equals
> 0), and the same as a value of function at this point, 0**2/0 (which by
> definition is equal 0).
>
In earlier discussions we decided not to allow solutions of equations
that set any denominator to zero even though the limit at that point
might exist. I wonder if that should be changed so that if the limit
exists and is the same from both directions the solution is returned;

>>> e=(x**2*(1/x - z**2/x))
>>> e.expand()
-x*z**2 + x
>>> solve(_,x)
[0]
>>> solve(e,x)
[]
>>> e.subs(x,0)
0

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