$e^{(x-1) - \frac{1}{2} (x-1)^2 + \frac{(x-1)^3}{3} - \frac{(x-1)^4}{4} + . . . }$ equal to :

Question

( A ) none of these
( B ) $\log (x-1)$
( C ) $\log x$
( D ) $x$