Question Bank • QB_SUB_EM_0026 NAT • 2 Marks

Section 1: Engineering Mathematics

Calculus

Subtopic: Limit, continuity and differentiability

Question Statement:

Evaluate the limit: $\lim_{x \to 0} \frac{\sin(2x)}{x}$:

Answer Key:

2.0

Step-by-Step Solution & Explanation

Using L'Hospital's rule or standard trigonometric limit: $\lim_{x \to 0} \frac{\sin(2x)}{x} = 2 \lim_{x \to 0} \frac{\sin(2x)}{2x} = 2 \times 1 = 2.00$
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