Evaluate the following limit: \(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\)
MATHEMATICS
JAMB 2023
Evaluate the following limit: \(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\)
- A. 4
- B. 8
- C. 0
- D. 2
Correct Answer: A. 4
Explanation
\(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\) = \(lim_{x\to2} \frac {(x - 2)(x + 6)}{x(x - 2)}\)
\(lim_{x\to2} \frac {x + 6}{x}\)
\(\frac {2 + 6}{2} = \frac {8}{2}\) = 4
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