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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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Richard Tobin

Posts: 1,255
Registered: 12/6/04
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 9, 2013 5:25 AM
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In article <a-6dnSe1M67_KcnPnZ2dnUVZ_qudnZ2d@megapath.net>,
Hetware <hattons@speakyeasy.net> wrote:

>>> Given a function f(t) continuous for all real numbers t and defined by
>>> (t^2-9)/(t-3) everywhere the expression is meaningful


>> I.e. for t!=3, so f isn't actually defined for all t, and even less it
>> is continuous for all t.


>Wrong. f(t) is defined at t=3. The assumption of continuity requires
>f(c) = limit[f(t),t->c].


If f(t) is defined by (t^2-9)/(t-3), then it isn't defined for t=3.

There is another function, say g(t), defined as being continuous and
equal to f(t) where f(t) is defined, which has the properties you want.
But it's a different function.

-- Richard


Date Subject Author
9/28/13
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Hetware
9/28/13
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Michael F. Stemper
9/28/13
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scattered
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Hetware
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quasi
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Hetware
9/28/13
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quasi
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Peter Percival
9/29/13
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quasi
9/28/13
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Hetware
9/28/13
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Richard Tobin
9/28/13
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Hetware
9/28/13
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tommyrjensen@gmail.com
9/29/13
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Hetware
10/6/13
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Hetware
10/6/13
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Peter Percival
10/6/13
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Hetware
10/6/13
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quasi
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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
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quasi
9/29/13
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Hetware
9/29/13
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magidin@math.berkeley.edu
10/6/13
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Hetware
10/6/13
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magidin@math.berkeley.edu
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Hetware
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LudovicoVan
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Peter Percival
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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
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Richard Tobin
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Hetware
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Peter Percival
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fom
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quasi
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quasi
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quasi
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Peter Percival
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fom
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fom
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Hetware
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fom
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10/13/13
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10/14/13
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10/13/13
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Hetware
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10/14/13
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10/16/13
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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
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quasi
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Hetware
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fom
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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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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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quasi
10/20/13
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Hetware
10/20/13
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Peter Percival
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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