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Topic: Is (t^2-9)/(t-3) defined at t=3?
Replies: 166   Last Post: Oct 30, 2013 9:41 AM

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magidin@math.berkeley.edu

Posts: 11,135
Registered: 12/4/04
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 19, 2013 11:30 PM
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On Saturday, October 19, 2013 7:42:48 PM UTC-5, Hetware wrote:
> On 10/19/2013 6:21 PM, Arturo Magidin wrote:
>

> > On Saturday, October 19, 2013 12:55:37 PM UTC-5, Hetware wrote:
>
> >> On 10/19/2013 7:34 AM, Peter Percival wrote:
>
> >>
>
> >>> Hetware wrote:
>
> >>
>
> >>>
>
> >>
>
> >>>> If we define f(x) as
>
> >>
>
> >>>>
>
> >>
>
> >>>> f(x) = x/x and c[f(x)],
>
> >>
>
> >>>
>
> >>
>
> >>> That's cheating. You've been told at least eight million times
>
> >>
>
> >>
>
> >>
>
> >> In psychology that's called cognitive distortion, and is an example
>
> >> of
>
> >>
>
> >> how emotions cause our thoughts to be irrational.
>
> >
>
> > Hey, Mr. Pot. Have you met Ms Kettle?
>
> >
>
> >>> that you
>
> >>
>
> >>> may define f with a formula, but you cannot put "and c[f(x)]" in
>
> >>> the
>
> >>
>
> >>> definition. If c[f(x)] is true it has to be proved _from_ the
>
> >>> definition.
>
> >>
>
> >>
>
> >>
>
> >> Sayin' it don't make it so.
>
> >
>
> >
>
> > Apparently no, you have not met Ms Kettle.
>
> >
>
> > You made a mistake because you purposely chose to disregard the
>
> > convention that the author set forth.
>
>
>
> What convention is that?


As I explained eariler:

The convention that when the domain of a function is not explicitly stated, then the domain is taken to be the "natural domain" of the function.

The "natural domain" of a function that is given via a formula *and no other specification* is taken to be the set of all real numbers for which the formula, as given, makes sense and yields a real number.

You keep talking about assumptions of continuity, assumptions of this, assumptions of that, authors trying to "bait" you, etc. But you keep ignoring the conventions.

> > Rather than admit this, you are going out of your way to try to prove
>
> > that you were right all along.
>
>
>
> The proposition P(f) that "f(x) is continuous" appears to have meaning.
>
> So either P or !P.


And so we get back to your self-justifying dance. Sorry, I don't tango with the willfully ignorant.

--
Arturo Magidin


Date Subject Author
9/28/13
Read Is (t^2-9)/(t-3) defined at t=3?
Hetware
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Michael F. Stemper
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
scattered
9/28/13
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Hetware
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Peter Percival
9/29/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Richard Tobin
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
9/28/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
tommyrjensen@gmail.com
9/29/13
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Hetware
10/6/13
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Hetware
10/6/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Peter Percival
10/6/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
10/6/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
10/8/13
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quasi
10/7/13
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Peter Percival
9/29/13
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Michael F. Stemper
9/29/13
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Hetware
9/29/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
9/29/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
9/29/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
magidin@math.berkeley.edu
10/6/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Hetware
10/6/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
magidin@math.berkeley.edu
10/7/13
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Hetware
10/7/13
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LudovicoVan
10/7/13
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Peter Percival
10/8/13
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magidin@math.berkeley.edu
10/12/13
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Hetware
10/12/13
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fom
10/13/13
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magidin@math.berkeley.edu
10/13/13
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Richard Tobin
10/13/13
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Hetware
10/13/13
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Peter Percival
10/13/13
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fom
10/13/13
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magidin@math.berkeley.edu
10/13/13
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magidin@math.berkeley.edu
10/8/13
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quasi
10/8/13
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magidin@math.berkeley.edu
10/8/13
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quasi
10/8/13
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quasi
10/12/13
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Hetware
10/13/13
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quasi
10/13/13
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Peter Percival
10/9/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
magidin@math.berkeley.edu
10/9/13
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fom
10/10/13
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magidin@math.berkeley.edu
10/10/13
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fom
10/7/13
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Peter Percival
10/7/13
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Hetware
10/7/13
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fom
10/7/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Peter Percival
9/29/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
quasi
9/30/13
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Peter Percival
9/30/13
Read Re: Is (t^2-9)/(t-3) defined at t=3?
Peter Percival
9/30/13
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Peter Percival
9/30/13
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RGVickson@shaw.ca
9/30/13
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Roland Franzius
9/30/13
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Richard Tobin
9/30/13
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9/28/13
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Peter Percival
9/28/13
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Hetware
9/29/13
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Peter Percival
9/28/13
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Virgil
9/29/13
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quasi
9/29/13
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Virgil
9/29/13
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Hetware
9/29/13
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quasi
9/29/13
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Hetware
9/29/13
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LudovicoVan
9/29/13
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quasi
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Virgil
9/29/13
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magidin@math.berkeley.edu
9/29/13
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Peter Percival
9/29/13
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FredJeffries@gmail.com
9/30/13
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Hetware
9/30/13
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magidin@math.berkeley.edu
10/6/13
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Hetware
10/6/13
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Peter Percival
10/6/13
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Peter Percival
10/6/13
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magidin@math.berkeley.edu
10/6/13
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Peter Percival
10/6/13
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magidin@math.berkeley.edu
10/6/13
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David Bernier
9/29/13
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Peter Percival
9/28/13
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Hetware
9/29/13
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Richard Tobin
9/30/13
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Ciekaw
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Robin Chapman
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Virgil
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LudovicoVan
9/30/13
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LudovicoVan
10/6/13
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Hetware
10/7/13
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Robin Chapman
10/7/13
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David Bernier
10/7/13
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Hetware
10/7/13
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LudovicoVan
10/8/13
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Hetware
10/9/13
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Peter Percival
10/9/13
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Richard Tobin
10/7/13
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Peter Percival
10/8/13
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Hetware
10/8/13
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Virgil
10/8/13
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Hetware
10/9/13
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magidin@math.berkeley.edu
10/9/13
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Peter Percival
10/10/13
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Ciekaw
10/9/13
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Peter Percival
10/10/13
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Tim Golden BandTech.com
10/13/13
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Hetware
10/13/13
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Peter Percival
10/13/13
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Hetware
10/14/13
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Peter Percival
10/13/13
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Hetware
10/13/13
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fom
10/13/13
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Hetware
10/13/13
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fom
10/14/13
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fom
10/14/13
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Hetware
10/14/13
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magidin@math.berkeley.edu
10/14/13
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magidin@math.berkeley.edu
10/14/13
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Peter Percival
10/14/13
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Hetware
10/14/13
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quasi
10/16/13
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@less@ndro
10/16/13
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quasi
10/19/13
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Hetware
10/19/13
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quasi
10/19/13
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Hetware
10/20/13
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fom
10/20/13
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quasi
10/20/13
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Hetware
10/20/13
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fom
10/20/13
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Hetware
10/20/13
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Peter Percival
10/20/13
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Richard Tobin
10/20/13
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Hetware
10/30/13
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@less@ndro
10/19/13
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Hetware
10/10/13
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Ronald Benedik
10/10/13
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Peter Percival
10/10/13
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Virgil
10/18/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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fom
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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fom
10/19/13
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magidin@math.berkeley.edu
10/19/13
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Hetware
10/19/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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quasi
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10/20/13
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10/20/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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Arturo Magidin
10/20/13
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10/19/13
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