Back to question 1 then :- show me how 0.9... ever converges with 1 - it logically cannot without 'assuming' they are the same, or as good as damnit; which mathematical theory accommodates.
That are what all there proofs are saying. 1/3 is not exactly 0.3... because if it were it'd equal 1 if x by 3, which it does not.
That are what all there proofs are saying. 1/3 is not exactly 0.3... because if it were it'd equal 1 if x by 3, which it does not.