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99 Percentile Qs Bank for JEE MainMathematicsLimits

If f: R R is such that f(3)=16, f^ (3)=4 , then _ x 3 x f(3)-3 f(x) x-3 =

Options

  1. A4
  2. B6
  3. C8
  4. D12

Correct answer

A. 4

Step-by-step solution

f(3)=16 f^ (3)=4 _ x 3 x f(3)-3 f(x) x-3 [ 0 0 . form ] By L^ Hospital Rule, _ x 3 f(3)-3 f^ (x) 1 f(3)-3 f^ (3) 16-3(4) 4

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