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KVPY2017MathematicsLimits

Let x _ n = (2^ n +3^ n )^ 1 / 2 n for all natural numbers n . Then

Options

  1. A_ n x_ n =
  2. B_ n x_ n = 3
  3. C_ n x_ n = 3 + 2
  4. D_ n x_ n = 5

Correct answer

B. _ n x_ n = 3

Step-by-step solution

_ n (3^ n )^ 1 / 2 n ( ( 2 3 )^ n +1 )^ 1 / 2 n Put _ n 3

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