Re: Proof 0.999... is not equal to one.
- From: "Jesse F. Hughes" <jesse@xxxxxxxxxxxxx>
- Date: Thu, 31 May 2007 10:49:52 -0400
mathedman@xxxxxxxxxxxxxxx writes:
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
.
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