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AP EAMCET2011MathematicsLimits

_ x 8 1+ 1+x -2 x-8 is equal to

Options

  1. A3 2
  2. B1 4
  3. C1 24
  4. D1 12

Correct answer

C. 1 24

Step-by-step solution

aligned & _ x 8 1+ 1+x -2 x-8 1+ 1+x +2 1+ 1+x +2 & = _ x 8 1+ 1+x -4 ( 1+ 1+x +2)(x-8) & = _ x 8 1+x -3 ( 1+ 1+x +2)(x-8) 1+x +3 ( 1+x +3) & = _ x 8 1+x-9 ( 1+x +3)( 1+ 1+x +2)(x-8) & = _ x 8 1 ( 1+x +3)( 1+ 1+x +2) & = 1 ( 1+8 +3)( 1+ 1+8 +2) & = 1 (3+3)(2+2) = 1 24 aligned

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