1. **State the problem:** Evaluate the limit $$\lim_{x \to -5} x(x - 5)(x + 3)$$.
2. **Recall the rule:** For polynomial functions, the limit as $x$ approaches a value is simply the value of the function at that point because polynomials are continuous everywhere.
3. **Substitute $x = -5$ directly into the expression:**
$$(-5)((-5) - 5)((-5) + 3)$$
4. **Simplify each factor:**
$$(-5)(-10)(-2)$$
5. **Multiply step-by-step:**
$$(-5) \times (-10) = 50$$
6. **Then multiply by the last factor:**
$$50 \times (-2) = -100$$
7. **Final answer:**
$$\lim_{x \to -5} x(x - 5)(x + 3) = -100$$
Limit Evaluation B624Ba
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