Limits, Continuity & Differentiability
Limit of a Function
Grade 12
Question:
<p>The value of \(\lim_{x \to -6} \frac{f(x) - x^2 - 1}{3(x + 6)}\) equals to:</p>
<p>(a) \(-\sqrt{6}\)</p>
<p>(b) \(\sqrt{6}\)</p>
<p>(c) \(\frac{\sqrt{6}}{2}\)</p>
<p>(d) \(\frac{-\sqrt{6}}{2}\)</p>
Step-by-Step Solution
Key Concept: Evaluate the limit as x approaches -6 by analyzing the behavior of the numerator and denominator.
<p>Answer: (d)</p>
Correct Answer: D