Don't think .999999999... = 1?
Think about it! Between any two numbers, there must needs be another number. For example, between 1 and 3 there is 2; between .5 and .6 there is .55; you can satisfy yourself if you don't buy it. Anyway, try to find a number between .999999... and 1 ... you can't, as they are the same number (just as you probably couldn't find a number between 2 and, well, 2).
Anyway, check out the authority on the matter:
Dr. Math