Question 6
Given the repeating expression $x=3-\dfrac2{3-\dfrac2{3-\dfrac2{3-\cdots}}}$, find the sum of the possible values of x.
Source interpretation unresolved: the printed key 3 is the sum of the formal fixed-point roots 1 and 2. Ordinary finite truncations of the displayed infinite continued fraction converge only to 2. The source does not distinguish these meanings; manual review is required and no unconditional answer is assigned.
Source interpretation unresolved: the printed key 3 is the sum of the formal fixed-point roots 1 and 2. Ordinary finite truncations of the displayed infinite continued fraction converge only to 2. The source does not distinguish these meanings; manual review is required and no unconditional answer is assigned.