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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = (4 + x)^n, n N and f^r(0) represents the r^ th derivative of f(x) at x = 0 , then the value of _ r=0 ^ f^r(0) r! is equal to :

Options

  1. A2^n
  2. B3^n
  3. C5^n
  4. D4^n

Correct answer

C. 5^n

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