
Re: As x approaches 5
Posted:
Jun 2, 2011 1:33 PM


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

