$\displaystyle\lim_{x \to \infty} \begin{vmatrix} \frac{a^{1/x} + b^{1/x} + c^{1/x} }{3} \end{vmatrix}^x$, where $a, b, c$ are real and non-zero is equal to :

Question

( A ) $0$
( B ) $(abc)^{1/3}$
( C ) $\frac{abc}{3}$
( D ) $(abc)^{-1/3}$