WAEC Further Mathematics 2014 Question 38

Question 38

Differentiation

Find limx→3 ((x3 + x2 − 12x)/(x2 − 9)).

  1. A.7/2
  2. B.0
  3. C.7/−2
  4. D.−7
Show the answer and explanation

Answer: A (7/2)

Explanation

x(x + 4)(x − 3)/((x − 3)(x + 3)) = x(x + 4)/(x + 3) → 3 × 7/6 = 7/2.