3.已知a1=x-1(x≠1且x≠2),a2=$\frac{1}{1-{a}_{1}}$,a3=$\frac{1}{1-{a}_{2}}$,…,an=$\frac{1}{1-{a}_{n-1}}$,则a2016等于( )
0 287991 287999 288005 288009 288015 288017 288021 288027 288029 288035 288041 288045 288047 288051 288057 288059 288065 288069 288071 288075 288077 288081 288083 288085 288086 288087 288089 288090 288091 288093 288095 288099 288101 288105 288107 288111 288117 288119 288125 288129 288131 288135 288141 288147 288149 288155 288159 288161 288167 288171 288177 288185 366461
| A. | $\frac{2-x}{1-x}$ | B. | x+1 | C. | x-1 | D. | $\frac{1}{2-x}$ |