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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of l i m x → π 2 x 3 l n 1 + cot ⁡ x is equal to (where, . denotes the greatest integer function)

Options

  1. Adoes not exist
  2. Bis equal to 1
  3. Cis equal to 0
  4. Dis equal to - 1

Correct answer

C. is equal to 0

Step-by-step solution

∵ π 6 < 1 ∴ π 6 = 0 ∴ l i m x → π 2 x 3 ln ⁡ 1 + cot ⁡ x = 0

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