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Highly selective Backlog Qs for JEE MainMathematicsLimits

If I = _ x 0 ( e ^ x - x -1- x ² 2 x ² ) , then limit

Options

  1. Adoes not exist
  2. Bexists and equals 1
  3. Cexists and equals 0
  4. Dexists and equals 1 2

Correct answer

C. exists and equals 0

Step-by-step solution

I= _ x 0 ( e^ x -x-1- x² 2 x² )= _ x 0 e^ x -x-1- x² 2 x² = _ x 0 e^ x -1-0-x 2 x = _ x 0 e^ x -1 2 =0

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