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JEE Main2003MathematicsLimitsActual

If _ x 0 (3+x)- (3-x) x =k , the value of k is

Options

  1. A- 2 3
  2. B0
  3. C- 1 3
  4. D2 3

Correct answer

D. 2 3

Step-by-step solution

Lim _ x 0 (3+x)- (3-x) x =K (by L'Hospital rule) Lim _ x 0 1 3+x - -1 3-x 1 =K 2 3 = K

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