Just as a quick thought that came into my brain 0/0 is like a random possibility. If you look at 0/0 simply the top 0 tells you that the number is zero whereas the bottom zero makes the number infinite so we at least know one thing, it's not zero and it's not infinite, according to that argument anyway. Also according to that argument the form 0/0 is actually a range of numbers from 0< x< infinite so with your choices, on the spur of the moment just like this thought, I would have to choose 1 as being the answer to 0/0