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If f(x)=x^(n),"n" epsilon N, then the va...

If `f(x)=x^(n),"n" epsilon N`, then the value of `f(1)-(f^(')(1))/(1!)+(f^(")(1))/(2!)-(f^''')(1)/(3!)+…+(-1)^(n)(f^(n)(1))/(n!)` is

A

`2^(n-1)`

B

0

C

1

D

`2^(n)`.

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The correct Answer is:
B
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