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Black Book Advanced Problems in MathematicsMathematicsLimits

For n N , let f_n(x) = x 2 (1 + x) (1 + 2x) (1 + 4x) (1 + 2^n x) , the _ x 0 f_n(x) 2x is equal to :

Options

  1. A0
  2. B2^n
  3. C2^ n-1
  4. D2^ n+1

Correct answer

C. 2^ n-1

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