> I think the point he is making is that 0 * anything is zero
>
> If we take a fractional index it becomes root of ie 0^ half is the
> square root of 0 = 0. 0^ third is cube root of zero = zero. Since the
> nth root of zero is zero, the millionth root of zero is zero, how come
> suddenly the infinity root of zero = 1?
>
> It depends on where you come from I think which is why 0 to the power
> 0 is most sensibly undefined.
Or in other (easier to understand ;-) ) words:
lim_x->+0 x^0 = 1 and lim_x->+0 0^x = 0, which means 0^0 is ambiguous
and therefore does not exist.
(x being a real number, +0 meaning coming from "right")
-Bjoern
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