Re: 0 * X = null?

From: Saint Cad (saintcad_at_emailblackhole.com)
Date: 02/02/05 

Date: Wed, 02 Feb 2005 06:54:52 GMT

"Munsey" <munsey@gmail.com> wrote in message
news:1107326213.344532.52080@g14g2000cwa.googlegroups.com...
>0 * x = 0 can be proved using limits. lim(x->0) f(x)=x*c (c is any
> real constant) is clearly 0.
>
> Null or undefined is used for functions like lim(x->0) f(x)=1/x. This
> is clearly not definable because, in this case not only is there a
> vertical asymptote at x=0, but the limits are different (-infinity,
> +infinity) depending on whether you are approaching from the right or
> left.
>

I'd be hesitant to use limits to prove this statement. lim(x->0) f(x)=x/x
is 1 but 0/0 is not equal to 1

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