I think I came to the conclusion that 0.9999999... = 1 when I was 12 or 13. My reasoning was that for any n, we had 0 <= 1 - 0.999999... <= 10^(-n), so the diff

I think I came to the conclusion that 0.9999999... = 1 when I was 12 or 13. My reasoning was that for any n, we had 0 <= 1 - 0.999999... <= 10^(-n), so the difference had to be 0.