Is it 1, -1, or is it a Schrödinger's cat answer (1, -1, both, and neither).
Is it defined at all or is it a x/0 type of deal?
Because it depends on if ∞ is even or odd. But it should be both (and maybe neither?) since ∞+1=∞.
And since 2∞ should be an even number is (-1)^(2∞)=1 ?
-
It is -1 since the - sign is not included in the 1 unless it is (-1)^∞. But if it is (-1)^∞ I don't know.