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NTA Abhyas JEE Main2020MathematicsLimitsPractice

If f x = g x – 1 x – 1 ; x ≠ 1                       1 ; x = 1 and g ' 1 = 2 ,   g 1 = 1 , then lim x → 1 ⁡ f x is equal to

Options

  1. A1
  2. B3
  3. C2
  4. D4

Correct answer

C. 2

Step-by-step solution

lim x → 1 ⁡ f x =   lim x → 1 g ' ( x ) 2   g x 1 2 x =   lim x → 1 g ' x   . x g x =   g ' 1   . 1 g 1 = 2

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