Yes, mathematically it's the same, but in physics there's a guy named Heisenberg who denies that 0.99999... really gets to 1.
There is always this difference, for a mathematician infinite is not a problem, but for a physicist it is, plus a very big one.
Floating point numbers are not possible in two's complement, besides that, what is your point? 0,99999999... is probably the same as 1.
Yes, mathematically it's the same, but in physics there's a guy named Heisenberg who denies that 0.99999... really gets to 1. There is always this difference, for a mathematician infinite is not a problem, but for a physicist it is, plus a very big one.
True, it sounds like that might be a problem if we consider that physics has to be between math and computer science.
(Have a nice day)