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Let f be a differentiable function on R such that f

  1. =1, f '
  2. = 4. Let x 0 lim  (f(2 + x)) 3/x = e  . Then the number of times the curve y = 4x 3 – 4x 2 – 4(  – 7) x –  meets x - axis is:
  3. 3
  4. 0 (3) 2 (4) 1

Correct answer: 3

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