Allied & ICAR Exam Bank • ALLIED_0023 NAT • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Limit, continuity and differentiability

Question Statement:

The limit $\lim_{x \to 0} \frac{\sin(5x)}{x}$ is equal to:

Answer Key:

5

Step-by-Step Solution & Explanation

Using standard limit or L'Hopital's rule: $\lim_{x \to 0} \frac{5\cos(5x)}{1} = 5$.
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