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JEE Math Practice Question

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

  1. A.$$1$$
  2. B.$${{2^n}}$$
  3. C.$${{2^n} - 1}$$
  4. D.$$0$$

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