allerylim(x→2) (x³ − 8) / (x² − 4) equals:
A0
B3
C2
D4
Answer & Solution
Correct answer: B. 3
1. x³ − 8 = (x − 2)(x² + 2x + 4); x² − 4 = (x − 2)(x + 2).
2. Cancel (x − 2): expression = (x² + 2x + 4)/(x + 2) for x ≠ 2.
3. Plug in x = 2: (4 + 4 + 4)/(2 + 2) = 12/4 = 3.
_Source: syllabus Maths Ch 13 §13.2 Algebraic Limits_
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