What number is represented by an empty continued fraction [] ?
Recall that [a0; a1, a2...] = a0 + 1/[a1, a2...]
Then a0 = [a0] = a0 + 1/[]
So [] must be
And in general a finite continued fraction behaves just like one that has a term of
That is, [..., a] = [..., a, , ...]
That's because:
