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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

Given 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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