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AP EAMCET20224 Jul 2022Morning ShiftMathematicsLimitsActual

If lim n → ∞ x n log e x = 0 then log x 12 =

Options

  1. ANegative
  2. BPositive
  3. CZero
  4. Dany value between - 1 and 1

Correct answer

A. Negative

Step-by-step solution

Given, lim n → ∞ x n log e x = 0 We know that when n → ∞ , x n → 0 when x ∈ 0 , 1 So, lim n → ∞ x n log e x = 0 is only possible when x ∈ 0 , 1 Then log x 12 will be negative as base belongs to 0 , 1 .

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