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Date: | Sun, 20 Jan 2002 06:04:46 -0600 |
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Michael Berkowitz wrote:
> Since it's a Saturday afternoon I'll ask the questions I've always wondered
> about.
>
> Is infinity minus infinity = zero, infinity or undefined?
>
> Is infinity divided by infinity = one, infinity or undefined?
>
> Is negative infinity plus positive infinity = 0, negative infinity, positive
> infinity, both or undefined?
>
> Mike Berkowitz
> Guess? Inc.
>
> * To join/leave the list, search archives, change list settings, *
> * etc., please visit http://raven.utc.edu/archives/hp3000-l.html *
Michael,
As Wirt already said the answer to all is: undefined.
But there are some hints on what the answer would be for specific cases.
For infinity/infinity you have to look at the functions that cause the
fraction.
Apply l' Hospital's rule stating that if f(x)/g(x)=infinity/infinity then
f(x)/g(x)=[df(x)/dx]/[dg(x)/dx]
For example: Limit x->infinity log(x)/x = Limit x->inifinity [1/x]/1 = 0
In the other cases you have to look at the cause to: limit x-> infinity
x-x*x = -infinity
--
Regards,
Jan Gerrit Kootstra
PinkRoccade Online
[These opinions and remarks are my own, and may not reflect our company policies.]
* To join/leave the list, search archives, change list settings, *
* etc., please visit http://raven.utc.edu/archives/hp3000-l.html *
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