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If f x is continuous in 0,1 and f 1 3 = 12 , then the value of lim n → ∞ ⁡ f n 3 n + 1 is equal to

Options

  1. A2
  2. B3
  3. C12
  4. DNone of these

Correct answer

C. 12

Step-by-step solution

Since, f x is continuous in 0,1 , therefore, lim n → ∞ ⁡ f n 3 n + 1 = f lim n → ∞ ⁡ n 3 n + 1 = f 1 3 = 12

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