> You have no idea what you're talking about! > For those who now what it means, o.999... = 1 is a > trivial fsct and easy to prove! > 0.999... is NOT a real number. It is a symbol that represents an > infinite series. An infinite series, by definition, is a sequence.
I was with you up 'til here.
0.999... is a representation of a real number, in the same way that 1 is a representation of a real number (which you suggest below). 0.999... does not represent a series or a sequence, but rather the limit of the sequence (equivalently, the sum of the series).
This may seem a trivial point, but it is essential to the question at hand. If 0.999.... is literally a sequence, then it cannot be equal to the real number represented by 1.
> The statement 0.999... = 1 says that the sequence represented > by the symbol on the left CONVERGES TO the number represented by > the symbol (numeral) "1". -- "This confused and outraged many Matrix fans, who'd already spent hours on the web explaining that man and computers could never really live in such a state of harmony and mutual benefit." -- http://www.pointlesswasteoftime.com