Question:

The value of \( \lim_{x \to 0} \frac{\sin(5x)}{\sin(3x)} \) is:

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Use standard limit properties for trigonometric functions when \( x \to 0 \).
Updated On: Mar 7, 2025
  • \( \frac{3}{5} \)
  • \( \frac{5}{3} \)
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The Correct Option is B

Solution and Explanation

We know that: \[ \lim_{x \to 0} \frac{\sin(kx)}{x} = k \] Using this, we have: \[ \lim_{x \to 0} \frac{\sin(5x)}{\sin(3x)} = \frac{5x}{3x} = \frac{5}{3} \]
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