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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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Peter Percival

Posts: 1,217
Registered: 10/25/10
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 9, 2013 4:55 AM
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Hetware wrote:
> [...] I was attempting to understand why it seemed
> possible to simply assume the function to be continuous at t=3, and then
> treat it as f(t) = (t^2-9)/(t-3) = t+3. The problem was that I was
> assuming more about the function than is given by the definition f(t) =
> (t^2-9)/(t-3).


Why don't you try to prove (in all the gory epsilon-delta detail) that f
is continuous at t? You will find that f is continuous at every t bar
3, and that the definition of continuity cannot be applied at t = 3
because f(3) = 0/0 and I bet you were taught at school that 0/0 is
undefined. So the attempted proof comes to a halt.

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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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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
10/6/13
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Peter Percival
9/29/13
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Michael F. Stemper
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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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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
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Hetware
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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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10/8/13
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quasi
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quasi
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Hetware
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quasi
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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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Peter Percival
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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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Peter Percival
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Virgil
9/29/13
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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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9/30/13
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Hetware
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10/6/13
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Hetware
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Peter Percival
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Peter Percival
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magidin@math.berkeley.edu
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10/8/13
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Hetware
10/9/13
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10/9/13
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Hetware
10/9/13
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10/9/13
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Peter Percival
10/10/13
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Ciekaw
10/9/13
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10/10/13
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10/13/13
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Hetware
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
10/13/13
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fom
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Hetware
10/13/13
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10/14/13
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fom
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Hetware
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10/14/13
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10/14/13
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10/14/13
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10/14/13
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10/16/13
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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
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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