[SI-LIST] Re: Fibre channel interconnect margins

  • From: Paul Levin <levinpa@xxxxxxxxxxxxx>
  • To: a.ingraham@xxxxxxxx
  • Date: Mon, 17 Jul 2006 11:00:59 -0700

Andrew,

If you invoke L'Hopitals' rule, the derivative of both numerator and 
denominator is 1 as x approaches zero. Thus, the limit of sin(x)/x as x 
approaches 0 is truly 1, despite the fact that at 0, you have a div0 
"problem." Mathematics will truly hurt your head.

Regards,

Paul Levin
Xyratex
_____________

Andrew Ingraham wrote:
>> Maybe the safest approach to return to the mathematics.   An interesting
>> perspective is the limit of sinx/x when x-->0?  It is 1, but does not
>> equal 1. sin(0)/0=0/0=0 doesn't it?
> 
> No it doesn't.  0/0 is undefined, it has no value.
> 
> 0/n = 0, EXCEPT when n is 0.  m/0 is undefined for any m.
> 
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