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AP EAMCET202418 May 2024Morning ShiftMathematicsLimitsActual

_ x 0 1- x 2 x ^2 x =

Options

  1. A11 4
  2. B5 2
  3. C3
  4. D5

Correct answer

B. 5 2

Step-by-step solution

Since, _ x 0 1- x 2 x ^2 x aligned & = _ x 0 1- x ( ^2 x- ^2 x ) ^2 x & = _ x 0 ( 1- ^3 x ^2 x + x ^2 x ^2 x ) aligned aligned & = _ x 0 ( 1+ x+ ^2 x 1+ x + x ) & = 1+1+1 1+1 +1= 3 2 +1= 5 2 aligned

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