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NEST2024MathematicsBinomial Theorem

Let n N and let f(x)=x^n for all x in R . Then f(1)+ f^ (1) (1) 1! + f^ (2) (1) 2! + + f^ (n) (1) n! is equal to

Options

  1. A1
  2. B2^ n-1
  3. C(n+1) 2^n
  4. D2^n

Correct answer

D. 2^n

Step-by-step solution

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