11.01.2012 12:51, Joachim Durchholz пишет: > Am 11.01.2012 04:32, schrieb Chris Smith: >> On Wed, Jan 11, 2012 at 4:43 AM, Joachim Durchholz<[email protected]> >> wrote: >> >>> f/g will be x, which is continuous. So yes, in this case, the >>> simplification changes the result. >>> >> Since x**2/x is automatically simplified, we should probably >> automatically >> simplify x**2.0/x. > > x²/x has a discontinuity for x=0, and x does not, hence x²/x is not the > same as x. (I suspect it might even be possible to "prove" 1=0 if you > allow removing 0/0 from a product. Division by zero tends to be nasty > like that, but I haven't checked.)
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). It was my mess when I began to talk about this case, but Stefan convinced me. -- Alexey U. -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
