Limits, Continuity & Differentiability
Trigonometric Limits
Grade 12
Question:
<p>Find the value of \(\lim_{x \to 0} \frac{\sin^2 x}{2 - \sqrt{1 + \cos x}}\)</p>
<p>(a) \(4\sqrt{2}\)</p>
<p>(b) \(\sqrt{2}\)</p>
<p>(c) \(2\sqrt{2}\)</p>
<p>(d) \(4\)</p>
Step-by-Step Solution
Key Concept: Use rationalization to eliminate the square root and apply standard trigonometric limits
<p>This limit requires rationalization and trigonometric simplification.</p>
Correct Answer: C