.9... is a constant. The limit of a constant is the constant. The function is f(x) = .9... and the limit (x->inf) .9... = .9...
The limit of 0.9.. is 1. 0.9.. is not constant, it is incomplete, which is why it is 0.9.. and not 0.90
I'm under the impression that would be less than or equal to 1, depending on who you talk to. Either way it's a good plan.