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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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Hetware

Posts: 148
Registered: 4/13/13
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 19, 2013 2:18 PM
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On 10/16/2013 11:37 AM, Marc Olschok wrote:

> if students are taught precise definitions for maps from the
> beginning (i.e. before taking calculus), this (slighly misleading)
> wording should not derail them.


http://books.google.com/books?id=HAPMB2e643kC&printsec=frontcover#v=onepage&q&f=false

I can assert that a mapping is continuous. I can then use the assertion
to determine the characteristics of a formulation of that mapping.


>>
>> (d) Does lim (x->3) f(x) exist?
>>
>> answer: Yes, the limit is 6.
>>
>> (d) Does there exist a function g continuous on the set of
>> real numbers such that g(x) = f(x) for all x != 3?
>>
>> answer: Yes, the function g(x) = x + 3 has that property,
>> and in fact, it's the only such function.
>> [...]

>



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
10/6/13
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10/7/13
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9/29/13
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Michael F. Stemper
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Hetware
9/29/13
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quasi
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Hetware
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magidin@math.berkeley.edu
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Hetware
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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
10/13/13
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Richard Tobin
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Hetware
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fom
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magidin@math.berkeley.edu
10/13/13
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quasi
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fom
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fom
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9/29/13
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quasi
9/30/13
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Peter Percival
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9/28/13
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9/29/13
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Virgil
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Hetware
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10/10/13
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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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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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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
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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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