Find the limit

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Find the limit, or state that it does not exist, for lim⁡x→0ln⁡(1+x)−sin⁡xx3.\displaystyle \lim_{x\to 0} \frac{\ln(1+x)-\sin x}{x^{3}}.

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