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AP EAMCET201822 Apr 2018Evening ShiftMathematicsLimitsActual

_ x 2 1+ 2 x 3 x (3^ 2 x -1 ) =

Options

  1. A1 3 9
  2. B2 3 3
  3. C1 3 3
  4. D3 3

Correct answer

C. 1 3 3

Step-by-step solution

_ x 2 1+ 2 x 3 x (3^ 2 x -1 ) _ x 2 2 ^2 x 3 x 3 x (3^ 2 x -1 ) Let x= 2 -h , then _ h 0 2 ^2 h 3 h 3 h (3^ 2 h -1 ) aligned & = _ h 0 2 ^2 h h^2 h^2( 3 h) ( 3 h 3 h 3 h ) 3^ 2 h -1 2 h 2 h 2 h 2 h & = 2 1 1 (1 3) [ _e(3) ] 1 2 = 1 3 _e 3 aligned

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