Question Bank • QB_SUB_EM_0029 NAT • 2 Marks

Section 1: Engineering Mathematics

Calculus

Subtopic: Limit, continuity and differentiability

Question Statement:

Evaluate the limit: $\lim_{x \to 0} \frac{\sin(5x)}{x}$:

Answer Key:

5.0

Step-by-Step Solution & Explanation

Using L'Hospital's rule or standard trigonometric limit: $\lim_{x \to 0} \frac{\sin(5x)}{x} = 5 \lim_{x \to 0} \frac{\sin(5x)}{5x} = 5 \times 1 = 5.00$
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