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WAEC Further Mathematics 2022 Objective — Question 38

Question 38 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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Evaluate lim(x→−2) (x³+8)/(x+2).

  • A. 8
  • B. 2
  • C. 4
  • D. 12Correct

Explanation

Factoring: x³+8=(x+2)(x²−2x+4). Cancelling (x+2) leaves x²−2x+4, which at x=−2 gives 4+4+4=12.

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