It's undefined. What did you expect? A miracle, perhaps?

There's a reason your first year Calculus prof made your life miserable with epsilons and deltas (and if she didn't, there's a reason she should have done). Some things are numbers: 0, 17, 0.1234567891011121314..., pi. But not everything is a number; some things just aren't: a banana, a dodecahedron, "1 divided by zero". When we call something a number, we expect to be able to perform various operations on it. Deep, complex, mathematical operations like addition and multiplication. (Maybe even a few more complicated ones, but these 2 will do.)

So who cares about some snotty mathematician's prejudices that "*that's not what ***I** call a number!"? Well, *you* should! Say 1/0 is a number; call it *x*. Well, 2/0 should be 2*x* (= *x*+*x*). Now we have that 1/*x* = 1/(1/0) = 0, which is cool, until you realise that then 1/(2*x*) = 0/2 = 0 = 1/*x*, so 2*x*=*x* and therefore 1/0=*x*=0, which is clearly wrong.

**Conclusion:** It's not possible meaningfully to define 1/0 to be a number. *Sorry.*