Question:medium
The value of
\[ \lim_{x \to \infty} \frac{x^3 \sin\left(\frac{1}{x}\right) - 2x^2}{1 + 3x^2} \]
is ______.
The value of
\[ \lim_{x \to \infty} \frac{x^3 \sin\left(\frac{1}{x}\right) - 2x^2}{1 + 3x^2} \]
is ______.
Show Hint
For limits involving \( \sin(1/x) \), use small-angle approximation.
Updated On: Apr 30, 2026
- \( 0 \)
- \( \frac{1}{3} \)
- \( -1 \)
- \( -\frac{2}{3} \)
- \( -\frac{1}{3} \)
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The Correct Option is
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