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Topic:
Why is there a difference between fractions 1/3 and .333 repeating multiplied by 3
Replies:
4
Last Post:
Oct 2, 2017 6:09 PM




Re: Why is there a difference between fractions 1/3 and .333 repeating multiplied by 3
Posted:
Oct 2, 2017 1:09 PM


On Monday, October 2, 2017 at 11:54:59 AM UTC4, John Gabriel wrote:
> > To discuss difference between 0.999... and 1 or 0.333... and 1/3 is like trying to discuss the difference between apple and football. They are different objects. >
Wrong again, Troll Boy.
0.999... = 0.9 + 0.09 + 0.009 + ... = 1
Similarly, 0.333... = 0.3 + 0.03 + 0.003 + ... = 1/3
Only trolls like you question this.
> Euler in a moment of grand folly decided to define these as equal, that is, S = Lim S where S = 0.333... or S = 0.999... >
Wrong again, Troll Boy. Repeat your lies as often as you like, but as you yourself were recently forced to concede when confronted with the evidence, "Of course he [Euler] did not write 'Lim S'... He did not talk about S." (May 27, 2017)
> The limit in both cases is a wellformed number. > > The limit of the series represented by 0.333... is 1/3. >
So, they are equal.
> Euler's Blunder is about defining the series 0.333... = 1/3.
Nothing wrong with that, Troll Boy. They are interchangeable. No wonder you failed math.
Dan
Download my DC Proof 2.0 software at http://www.dcproof.com Visit my Math Blog at http://www.dcproof.wordpress.com



