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AP EAMCET202418 May 2024Morning ShiftMathematicsLimitsActual

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

Options

  1. A-3
  2. Be⁻¹
  3. Ce⁻³
  4. D-1

Correct answer

C. e⁻³

Step-by-step solution

Since, _ x ( 3 x^2-2 x+3 3 x^2+x-2 )^ 3 x-2 = _ x (1+ (-3 x+5) 3 x^2+x-2 )^ 3 x-2 ( 1^ forms) =e^ _ x (1+ -3 x+5 3 x^2+x-2 -1 )(3 x-2) =e^ _ x ( -9 x^2+21 x-10 3 x^2+x-2 ) =e^ (- 9 3 ) =e⁻³

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