Question:
The value of \( \lim_{x \to 0} \frac{\sin(5x)}{\sin(3x)} \) is:
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
- \( \frac{3}{5} \)
- \( \frac{5}{3} \)
- 1
- 0
- 5
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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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