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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim x → π 2 ⁡ x 3 ln sin ⁡ x (where, . denotes the greaest 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 ∴ lim x → π 2 x 2 ln sin ⁡ x = 0

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