OK, that's the most convincing argument I've heard so far. The omega+1-th digit would need to be 1, for your example. I'm not entirely sure that it has to be t

OK, that's the most convincing argument I've heard so far. The omega+1-th digit would need to be 1, for your example. I'm not entirely sure that it has to be the same as 0.00...1, as you argue. However, you're definitely showing that this way of handling fraction would probably get to be pretty ridiculous at some point.