Limits, Continuity & Differentiability
Evaluation of Limits
Grade 12
Question:
<p>The value of <span>\(\lim_{x \to 0} \frac{2\cot x}{x}\)</span> is</p>
<p>(a) 0</p>
<p>(b) 1</p>
<p>(c) \(\frac{1}{4}\)</p>
<p>(d) None of these</p>
Step-by-Step Solution
Key Concept: Evaluate the limit using standard trigonometric limits and L'Hôpital's rule or Taylor series expansion.
<p>No solution provided in the page text.</p>
Correct Answer: D