Re: Re: Re: Re: 0**0

[Arien]

Actually, 0/-infinity equals 0. It's not indeterminate.

Actually, the limit of 0/x as x goes to -∞ is 0. Infinity is not a number, it's a concept.

An indeterminate division would be something like infinity/infinity.

The limit for x to ∞ of x/x is 1.

— Arien

[Aristotle]

lim[x → ∞](x/x) = 1
lim[x → ∞](2x/x) = 2

Now which one do we take?

Makeshifts last the longest.

[Arien]

lim _{x → ∞} x/x was just an example to show that dividing two numbers that approach infinity is determinate. I didn't mean to suggest that the "division" of infinity by infinity has the value 1 (or 2, or any value for that matter).

— Arien