Question Bank • QB_EXP_EM_LIM_013 MCQ • 1 Mark

Section 1: Engineering Mathematics

Calculus: Limits, Continuity & Differentiability

Subtopic: L'Hospital's rule

Question Statement:

The value of the limit $\lim_{x \to 0} \frac{\sin(14x)}{x}$ is equal to:

Options:

  • (A) 14
  • (B) 1
  • (C) 0
  • (D) \infty

Answer Key:

A

Step-by-Step Solution & Explanation

Applying the standard limit identity or L'Hospital's rule (0/0 form): $\lim_{x \to 0} \frac{\sin(14x)}{x} = \lim_{x \to 0} \frac{14 \cos(14x)}{1} = 14 \cos(0) = 14$ Hence, the limit value is $14$.
← Previous (QB_EXP_EM_LIM_010) Next (QB_EXP_EM_LIM_016) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test