The factors for $x=\large\frac{1}{2-\Large\frac{1}{2-\Large\frac{1}{2-x}}}$,$x\neq 2$ are

Question

$\begin{array}{1 1}(A) \;(x-1),(x-1)\\(B)\;(x+1),(x+1) \\(C)\;(x-1)(x+1) \\(D)\;\text{None of the above} \end{array}$