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Re: As x approaches 5
Posted:
Jun 2, 2011 1:33 PM
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On Wed, 01 Jun 2011 14:45:50 -0600, JimmyJohn
<Non@Jtheist.net> wrote in
<news:4de6a5ba$0$16073$ec3e2dad@unlimited.usenetmonster.com>
in alt.math.undergrad:
> In article <1roa6g8hx6e2j.uird5q01eykn.dlg@40tude.net>,
> "Brian M. Scott" <b.scott@csuohio.edu> wrote:
>> On Wed, 01 Jun 2011 12:35:03 -0700, Alexandros Bantis
>> <ambantis@gmail.com> wrote in
>> <news:94nij9F5phU1@mid.individual.net> in
>> alt.math.undergrad:
>> [...]
>>> I'm curious. How is it possible that the function changes
>>> a fundamental property [f(5) == undefined versus f(5) =
>>> 1/6] when all I've done is multiply by 1. I see that
>>> this has happened, but intuitively it feels odd.
>> It didn't change when you multiplied by 1: the change
>> occurred when you cancelled x - 5. After the multiplication
>> by 1 you actually had
>> (x - 5) / [(x - 5) sqrt(x + 4) + 3],
> Surely, it should be
> (x - 5) / [(x - 5) (sqrt(x + 4) + 3)],
Yes.
[...]
Brian
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