The sum of \( 1 + n \left ( 1 - \frac{1}{x} \right ) + n \frac{n - 1}{2} ! \left ( 1 - \frac{1}{x} \right )^{2} + \ldots \ldots \ldots . . ∞ \) will be-
A \( \left ( 1 - \frac{1}{x} \right )^{n} \)
B \( x^{n} \)
C \( \left ( 1 + \frac{1}{x} \right )^{n} \)
D None of these
Solution
Correct Answer: Option D