What is the limit of (x^2 - 9) / (x - 3) as x approaches 3?
Answer and explanation
Correct answer: B. 6
- Step 1: Factor the numerator: x^2 - 9 = (x - 3)(x + 3). Step 2. Cancel common factor (x - 3) for x != 3, leaving x + 3. As x -> 3, the limit is 3 + 3 = 6. Answer: 6. Why not the others: 0 is the value of numerator alone; 3 is the limit point; infinity results from blind zero division.
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