ISRO Mechanical & Aerospace 2013 - Question 54

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lim x->0 (x² + x - sinx) / x²

  • A. 0
  • B. infinity
  • C. 1
  • D. None of these

Answer: C. 1

Explanation: Using L'Hopital: (2x + 1 - cosx) / 2x. Apply again: (2 + sinx)/2 -> 2/2 = 1.

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