Evaluate `lim_(xto0^(-)) (x^(2)-3x+2)/(x^(3)-2x^(2)).`

Explanation

To evaluate the limit \( \lim_{x \to 0^-} \frac{x^2 - 3x + 2}{x^3 - 2x^2} \), we will follow these steps:

### Step 1: Factor the Numerator and Denominator
First, we factor the numerator \( x^2 - 3x + 2 \) and the denominator \( x^3 - 2x^2 \).

- The numerator \( x^2 - 3x + 2 \) can be factored as:
\[
x^2 - 3x + 2 = (x - 2)(x - 1)
...