Find (lim limits_{x to 3} frac{x + 3}{x^{2} - x - 12})

FURTHER MATHEMATICSWAEC 2011

Find \(\lim \limits_{x \to 3} \frac{x + 3}{x^{2} - x - 12}\)

  • A. -1
  • B. \(\frac{-1}{7}\)
  • C. \(\frac{1}{7}\)
  • D. 1

Correct Answer: A. -1

Explanation

\(\lim \limits_{x \to 3} \frac{x + 3}{x^{2} - x - 12} = \frac{3 + 3}{3^{2} - 3 - 12}\)

= \(\frac{6}{-6} = -1\)

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