allerylim(x→1) (x² − 1) / (x − 1) equals:
A0
B1
C2
Dundefined
Answer & Solution
Correct answer: C. 2
1. x² − 1 = (x − 1)(x + 1), so (x² − 1)/(x − 1) = x + 1 for x ≠ 1.
2. lim(x→1) (x + 1) = 2.
3. Although the original form is 0/0 (indeterminate), factoring resolves it.
_Source: syllabus Maths Ch 13 §13.2 Worked Limits_
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