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If $f(x) = x^n$, then the value of $f(1) - \frac{f'(1)}{1!} + \frac{f''(1)}{2!} - \frac{f'''(1)}{3!} + ....+\frac{(-1)^nf^n(1)}{n!} $ is :


( A ) $1$
( B ) $2^{n-1}$
( C ) $0$
( D ) $2^n$

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