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MHT CET2010MathematicsLimits

The value of _ x 0 15^ x -5^ x -3^ x +1 1- 2 x is

Options

  1. A( 3)( 5) 2
  2. B2( 3)( 5)
  3. C3+ 5 2
  4. DNone of these

Correct answer

A. ( 3)( 5) 2

Step-by-step solution

_ x 0 15^ x -5^ x -3^ x +1 1- 2 x = _ x 0 (3^ x -1 ) (5^ x -1 ) 1-1+2 ² x = _ x 0 ( 3^ x -1 x ) ( 5^ x -1 x ) ( x² 2 ² x )= 1 2 ( 3)( 5) 1 [ _ x 0 ( a^ x -b^ x x )= ( a b ) ]

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