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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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quasi

Posts: 10,327
Registered: 7/15/05
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Sep 29, 2013 2:36 AM
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Hetware wrote:
>
>So the answer is consensus among mathematicians holds that
>F(t) = (t^2 - 9)/(t - 3) is undefined at t = 3?


Yes.

>Perhaps what I should have said at the outset is something
>along the lines of: on any given day, if I'm setting up an
>equation in physics, and produce an expression such as
>F(t) = (t^2 - 9)/(t - 3), I treat it as t + 3.


Then _define_ it as F(t) = t + 3.

If simplifying (t^2 - 9)/(t - 3) to t + 3 is correct in the
context of your application, then simplify it in advance before
defining the function.

>and do not expect any adverse consequence from doing so.

If the physical context makes removable discontinuities
impossible, then _remove_ them. Don't leave them there in
the definition of the function.

quasi


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
9/28/13
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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
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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
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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
10/7/13
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Hetware
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LudovicoVan
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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
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magidin@math.berkeley.edu
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magidin@math.berkeley.edu
10/8/13
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quasi
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magidin@math.berkeley.edu
10/8/13
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quasi
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quasi
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Hetware
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quasi
10/13/13
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Peter Percival
10/9/13
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magidin@math.berkeley.edu
10/9/13
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fom
10/10/13
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magidin@math.berkeley.edu
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fom
10/7/13
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10/7/13
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Hetware
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fom
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Peter Percival
9/29/13
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quasi
9/30/13
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Peter Percival
9/30/13
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Peter Percival
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Hetware
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Virgil
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quasi
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Virgil
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quasi
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Hetware
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LudovicoVan
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quasi
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Virgil
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9/30/13
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Hetware
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Hetware
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David Bernier
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Virgil
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Peter Percival
10/10/13
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Ciekaw
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10/13/13
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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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fom
10/14/13
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Hetware
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magidin@math.berkeley.edu
10/14/13
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10/14/13
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10/14/13
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Hetware
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10/16/13
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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
10/20/13
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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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Hetware
10/20/13
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10/19/13
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fom

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