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Most Important Selected Qs for JEE AdvancedMathematicsLimits

_ x 0 (2^ x-1 + 1 2 )^ 1 / x is equal to

Options

  1. A2
  2. B1 2 2
  3. C2
  4. D2

Correct answer

A. 2

Step-by-step solution

Let A= _ x 0 (2^ x-1 + 1 2 )^ 1 / x (1^ . form )= e ^ _ x 0 1 0 [2^ 2^ x-1 + 1 2 -1 ] = e ^ _ x 0 ( 2^x-1 2 x ) = e ^ 1 2 2 = 2

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