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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim x → 0 1 - cos 2 x 3 + cos x x tan 4 x is equal to

Options

  1. A1
  2. B2
  3. C- 1 4
  4. D1 2

Correct answer

B. 2

Step-by-step solution

lim x → 0 1 - cos  2 x 3 + cos  x x  tan  4 x = lim x → 0 2 sin 2 x 3 + cos x x  tan  4 x = lim x → 0 sin  x x 2 4 x tan  4 x 3 + cos  x × 1 2 = 2

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