Question 36
DifferentiationEvaluate limx→2 (x − 2)(x2 + 3x − 2)/(x2 − 4)
- A.0
- B.2
- C.3
- D.4
Show the answer and explanation
Answer: B (2)
Explanation
Cancel (x − 2) using x2 − 4 = (x − 2)(x + 2). The limit is (4 + 6 − 2)/(2 + 2) = 8/4 = 2.
Evaluate limx→2 (x − 2)(x2 + 3x − 2)/(x2 − 4)
Answer: B (2)
Cancel (x − 2) using x2 − 4 = (x − 2)(x + 2). The limit is (4 + 6 − 2)/(2 + 2) = 8/4 = 2.