<p>auburnmathtutor has stated that the post he made “proving” 0.999… =/= 1 is a joke.</p>
<p>systemshock: The number of nines is infinite. As in, infinite. As in, there is no zero at the “end” of it because there is no end. In your example, N is not a well-defined number. In fact, it is not a number at all, it is infinite.</p>
<p>0.3333… is the decimal notation for 1/3. They represent the exact same number, the same way 2/3 and 4/6 represent the exact same number. Not convinced? Try it in base 9. 10/3 is 3 in base nine, while 10/4 is 0.44444…</p>