Re: 0^0

The Ghost In The Machine <ewill@xxxxxxxxxxxxxxxxxxxxxxx> wrote:
[snip]
> OK, but lim (p->O) P_x^P_y or lim((x,y)->(0,0)) x^y isn't particularly
> well-defined either. There's a mathematical term for it but I
> can't say I remember it.

"Essential singularity", perhaps? The function x^y has an essential
singularity at (x,y) = (0,0), and so lim((x,y)->(0,0)) x^y doesn't exist.

But the important point is that that fact has nothing to do with whether
x^y should or should not be defined at (x,y) = (0,0).

David
.

Quantcast