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MHT CET202410 May 2024Evening ShiftMathematicsLimitsActual

_ x 0 9^x-4^x x (9^x+4^x ) =

Options

  1. A( 3 2 )
  2. B1 2 ( 3 2 )
  3. C2 ( 3 2 )
  4. D2 ( 9 4 )

Correct answer

A. ( 3 2 )

Step-by-step solution

aligned & _ x 0 9^x-4^x x (9^x+4^x ) & = _ x 0 (9^x-1 )- (4^x-1 ) x 1 (9^x+4^x ) & = [ _ x 0 9^x-1 x - _ x 0 4^x-1 x ] _ x 0 1 (9^x +4^x ) & = ( 9 4 ) 1 (1+1) & = ( 3 2 ) aligned

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