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ExamsGATEEngineering Mathematics

The value of lim_(x→∞) (x − √(x² + x)) is equal to

  1. -1
  2. -0.5
  3. -2
  4. 0

Correct answer: -0.5

Solution

As x approaches infinity, the expression can be simplified by factoring out x from the square root, leading to a limit that evaluates to -0.5.

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