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MHT CET20228 Aug 2022Morning ShiftMathematicsLimitsActual

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

Options

  1. A1 2 ( 2)^2
  2. B( 2)^2
  3. C2 2
  4. D2( 2)^2

Correct answer

B. ( 2)^2

Step-by-step solution

aligned & _ x 1 2^ 2 x-2 -2^x+1 ^2(x-1) = _ x 1 (2^ x-1 -1 )^2 ^2(x-1) = _ x 1 (2^ x-1 -1 )^2 (x-1)^2 ^2(x-1) (x-1)^2 & = ( 2)^2 1^2 =( 2)^2 aligned

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