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Black Book Advanced Problems in MathematicsMathematicsLimits

Let _ x (2^x + a^x + e^x)^ 1/x = L which of the following statement(s) is(are) correct ?

Options

  1. Aif L = a (a > 0) , then the range of a is [e, )
  2. Bif L = 2e (a > 0) , then the range of a is 2e
  3. Cif L = e (a > 0) , then the range of a is (0, e]
  4. Dif L = 2a (a > 1) , then the range of a is ( e 2 , )

Correct answer

A. if L = a (a > 0) , then the range of a is [e, )

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