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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of l i m x → ∞ ln ⁡ x 2 2 + 3 x 2 is equal to

Options

  1. A1 3
  2. B2 3
  3. C1
  4. D0

Correct answer

D. 0

Step-by-step solution

By L-hospital rule, l i m x → ∞ 2 ln ⁡ x . 1 x 6 x ⇒ l i m x → ∞ ln ⁡ x 3 x 2 Again by L-hospital rule, l i m x → ∞ 1 x 6 x ⇒ l i m x → ∞ 1 6 x 2 = 0

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