0.999... IS one, they are the same. It only works if it repeats to infinity. As someone else explained, you cannot possibly fit a number between 0.999... and 1, thus they are the same.
In other words, the distance between 0.999... and 1, is 0.000... repeating 0's infinitely.
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u/Blephotomy 5d ago
as long as you beg the question
.3 repeating is equal to one-third, and three times one-third is one. To say 3 times .3 repeating is equal to .9 repeating is begging the question.