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

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