GATE_AE_2027_MOCK_03_Q13 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) MCQ · 1 Mark
Engineering Mathematics • Calculus • Limits, Continuity & Mean Value Theorems

Evaluate the limit: lim_{x -> 0} (sin(5x) / x).

(A) 5
(B) 1
(C) 0
(D) Does not exist
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Using standard limit or L'Hopital's rule: lim_{x->0} 5*cos(5x)/1 = 5. Correct: A.
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