Honors question 4: Continued fractions.
... number, but now the sequence is no longer finite. More precisely, given any real number x ∈ R, there is an infinite sequence {an }∞ n=1 , where each an ∈ Z with an > 0 for n ≥ 2, so that x is the limit of the sequence of partial quotients x = lim qn n→∞ ...
... number, but now the sequence is no longer finite. More precisely, given any real number x ∈ R, there is an infinite sequence {an }∞ n=1 , where each an ∈ Z with an > 0 for n ≥ 2, so that x is the limit of the sequence of partial quotients x = lim qn n→∞ ...
