Re: What is zero divided by zero?

*To*: mathgroup at smc.vnet.net*Subject*: [mg48477] Re: What is zero divided by zero?*From*: mathma18 at hotmail.com ("G.L.Narasimham")*Date*: Tue, 1 Jun 2004 03:02:52 -0400 (EDT)*References*: <4xm5ym42r3vg@legacy>*Sender*: owner-wri-mathgroup at wolfram.com

Looking at Mathematica surface plot for local behaviour of 0/0 near the origin(u,v)=(0,0), conclusions may be drawn by brute method. Plot3D[u/v,{u,-.01,.01},{v,-.01,.01},ViewPoint->{4,-2,2},PlotPoints->{21,21}]; As is well-known,the surface is not differentiable at v=0, it being discontinuous (pointwise only, but not slope for variation on v ), like a fault in geological usage. Each sheet( antisymmetric at v=0 )has sheared edges , but the lone point of contact between the two disjunct sheets is still -> (0,0,0) !