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NDA2022MathematicsLimitsActual

What is _ x 1 x^3-1 x -1 equal to?

Options

  1. A0
  2. B3
  3. C6
  4. DLimit does not exist

Correct answer

C. 6

Step-by-step solution

aligned & _ x 1 x^3-1 x -1 = _ x 1 (x^3-1 )( x +1) x-1 & = _ x 1 (x-1) (x^2+x+1 )( x +1) x-1 & =(1+1+1)(1+1)=6 aligned

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