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The value of l i m x → 0 x c o t 4 x t a n 2 3 x c o t 2 6 x is equal to

Options

  1. A0
  2. B4
  3. C2 9
  4. D1

Correct answer

D. 1

Step-by-step solution

l i m x → 0 9 x 2 tan ⁡ 3 x 2 1 9 x ⋅ tan ⁡ 6 x 2 36 ⋅ x 2 ⋅ 4 x tan ⁡ 4 x 36 x 2 4 x = 1 × 1 9 × 1 × 1 × 36 4 = 1

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