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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2003
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Q)
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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