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Question 240011
JEE Mathematics · Medium

Limits and Continuity: L'Hôpital MCQ

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L'HôpitalMediumQuestion 240011

Question

lim(x→0) (sin 3x)/(sin 5x) equals:
  1. A
    3/5
    Correct
  2. B
    5/3
  3. C
    1
  4. D
    0

Correct answer

3/5

Explanation

(sin 3x)/(sin 5x) = [(sin 3x)/(3x)] × 3x × (5x)/[(sin 5x)/(5x)] × 1/(5x) = (3/5) × [sin 3x / 3x] / [sin 5x / 5x] → 3/5 × 1/1 = 3/5.

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