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Question
\[\lim_{x \to 0} \frac{\log \left| 1 + x^3 \right|}{\sin^3 x}\]
Solution
\[ = \lim_{x \to 0} \left[ \frac{\log \left( 1 + x^3 \right)}{x^3} \times \frac{x^3}{\sin^3 x} \right]\]
\[ = 1 \times \frac{1}{1^3}\]
\[ = 1\]
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