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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of l i m x → 0 - 4 2 + 3 x + 5 ( 2 1 x ) 2 1 + 6 x + 6 ( 2 1 x ) is equal to

Options

  1. A5 6
  2. B8
  3. C16
  4. D5 2

Correct answer

A. 5 6

Step-by-step solution

lim x → 0 - 2 4 + 6 x + 5 . 2 1 x 2 1 + 6 x + 6 . 2 1 x = lim x → 0 - 2 1 x 16 2 5 x + 5 2 1 x 2 2 5 x + 6 l i m x → 0 - 16 2 5 x + 5 2 2 5 x + 6 = 16 0 + 5 2 0 + 6 = 5 6

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