Evaluate `lim_(xrarr0)((x^(3)cotx)/(1-cosx)).`

Explanation

To evaluate the limit \( \lim_{x \to 0} \frac{x^3 \cot x}{1 - \cos x} \), we can follow these steps:

### Step 1: Rewrite \( \cot x \)
The cotangent function can be rewritten in terms of sine and cosine:
\[ \cot x = \frac{\cos x}{\sin x} \]
Thus, we can rewrite the limit as:
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