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AP EAMCET2002MathematicsLimits

_ x 0 4^x-9^x x (4^x+9^x ) is equal to

Options

  1. A2 3
  2. B3 2
  3. C1 2 2 3
  4. D1 2 3 2

Correct answer

A. 2 3

Step-by-step solution

We have, _ x 0 4^x-9^x x (4^x+9^x ) Using L-Hospital's rule aligned & = _ x 0 4^x 4-9^x 9 (4^x+9^x )+x (4^x 4+9^x 9 ) & = 4- 9 2 = 2 2 3 2 = 2 3 aligned

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