<I may have just realized a "physical proof" for that divide-by-zero enigma: 1/0 = oo.
The velocity of X is defined as the distance (d) traveld divided by the time (t) the travel took:
v = d/t
If X travels a distance defined as "1" in a time period equal to 0 (which would be instantaneous travel), then the speed of X would be greater than any finite speed, and so the velocity of X must therefore be infinite. Ergo:
v = 1/0 = oo
The apparently instantaneous communication observed in the infamous Aspect experiment (Aspect et al, Physical Review Letters,1981) between two distant photons would be a physical example/proof that 1/0 must = oo. No?
Even if nothing can travel at v = oo, I believe that the analysis above serves as a "physical" demonstration of the mathematical logic behind the 1/0 = oo "paradox.">
I read this kind of fast as my stupid brother was signing me off as I was posting this message, but I think you are basically proving that lim x -> 0+ 1/x = infinity.