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AP EAMCET2016MathematicsLimits

_ x 0 6^x-3^x-2^x+1 x^2 is equal to

Options

  1. A( _e 2 ) _e 3
  2. B_ e 5
  3. C_ e 6
  4. D0

Correct answer

A. ( _e 2 ) _e 3

Step-by-step solution

Let, l= _ x 0 6^x-3^x-2^x+1 x^2 = _ x 0 3^x 2^x-3^x-2^x+1 x^2 aligned & = _ x 0 3^x (2^x-1 )-1 (2^x-1 ) x^2 & = _ x 0 (2^x-1 ) (3^x-1 ) x x & = _ x 0 2^x-1 x _ x 0 3^x-1 x & = ( _a 2 ) ( _e 3 ) aligned

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