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AP EAMCET202017 Sep 2020Morning ShiftMathematicsLimitsActual

( _ x 0 8 ^8 x ) ( 1- ( x^2 2 )- ( x^2 4 )+ ( x^2 2 ) ( x^2 4 ) = )

Options

  1. A( 1 16 )
  2. B( 1 32 )
  3. C( 1 64 )
  4. D( 1 8 )

Correct answer

B. ( 1 32 )

Step-by-step solution

( aligned _ x 0 8 ^8 x 1- ( x^2 2 )- . & ( x^2 4 ) & .+ ( x^2 2 ) ( x^2 4 ) aligned ) ( gathered _ x 0 8 ^8 x [1- ( x^2 2 ) ] [- ( x^2 4 ) ] [1- ^2 ( x^2 2 ) ] _ x 0 8 ^8 x [1- ( x^2 2 ) ] (1- ( x^2 4 ) ) _ x 0 8 ^8 x (2 ^2 ( x^2 4 ) ) (2 ^2 ( x^2 8 ) ) _ x 0 32 ^2 ( x^2 4 ) ^2 ( x^2 8 ) ^8 x _ x 0 32 ^2 ( x^2 4 ) ^2 ( x^2 8 ) x^8 ( x^2 4 x^2 8 )^2 ^8 x (4 8)^2 = 1 32 gathered )

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