Evaluate `lim_(xto0) (sinx-x)/(x^(3)).`

Explanation

To evaluate the limit \( \lim_{x \to 0} \frac{\sin x - x}{x^3} \), we can use the Taylor series expansion for \( \sin x \).

### Step-by-step Solution:

1. **Recall the Taylor Series Expansion**:
The Taylor series expansion of \( \sin x \) around \( x = 0 \) is:
\[
\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \cdots
...