successor: ℕ⇒∞=1;
ℤ⇒2⁕∞=∞+1; ℚ⇒(i/i)∞
=(i^3/i^3)⁕2⁕∞ ; ℝ⇒∞=∞; the best way to know something is to believe; a recalled proof. suppose
we take {(√2)^0=(∞-1)/∞}.
we generalize to infinity
{(√∞)^0=1/∞}. in between
is some Taylorish series
{(∞-0)⁕(∞-1)...(1)} nicely!
via {(√(π⁕2)=1⁕2⁕3...}
[mathacy] exceptionally
(π⁕e)^0=(√2)^0. this
disproves Schanuel's
conjecture. exercise:
prove ∞⁕e^3 is an integer.