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The value of l i m x → 0 t a n 2 3 x 5 - 4 + s e c x is equal to

Options

  1. A2 5
  2. B- 9 5
  3. C9 5
  4. D- 36 5

Correct answer

D. - 36 5

Step-by-step solution

After rationalization, l i m x → 0 t a n 2 3 x 5 + 4 + s e c x 5 - 4 + sec ⁡ x ⇒ l i m x → 0 t a n 2 3 x 9 x 2 ⋅ 9 x 2 c o s x - 1 5 + 4 + 1 ⇒ 9 - 2 2 5 = - 36 5

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