Not infinite times. It fails to divide (or add) the first time. imo, it doesn't go infinite times. And yeah, I was going to state limits too, but Bliz, what you said is interesting. 1 power infinity tends to e, I just can't picture that (not that anyone can really picture infinity :/)

The mystery of 0s and infinity, such a sweet experience to the mind. I discussed about this with my friend for about 2 hours without a break and we were still not finished. But we didn't fight with math formulae, we just discussed infinity and 0.