Limits, Continuity & Differentiability
Limit Evaluation
Grade 12
Question:
<p>Find: <span>\(\lim_{b \to 0} \frac{r_{max} - r}{\sin b}\)</span></p>
<p>(a) \(\frac{1}{2}\)</p>
<p>(b) \(-\frac{1}{2}\)</p>
<p>(c) \(\frac{1}{2}\)</p>
<p>(d) Not exist</p>
Step-by-Step Solution
Key Concept: Apply L'Hôpital's rule or standard limit identities to evaluate the limit as b approaches 0.
<p><strong>Solution:</strong> The limit evaluates to \(\frac{1}{2}\) using standard limit techniques.</p>
Correct Answer: A