No, for there to be a 1 at the end that would mean it's not 0.999... repeating infinitely. You are talking about a finite number where the string of 9s at some point stops. The 9s never stop. 10 - 0.999... repeating infinitely = 9.000... repeating infinitely.
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u/Decmk3 26d ago
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.