Find the value of `lim_(xto3^(-)) (x-2)/(x-3).`

Explanation

To find the limit \( \lim_{x \to 3^-} \frac{x - 2}{x - 3} \), we will evaluate the expression step by step.

### Step 1: Substitute the limit value
We start by substituting \( x \) with values approaching 3 from the left (denoted as \( 3^- \)). This means we are considering values of \( x \) that are slightly less than 3.

### Step 2: Analyze the numerator
The numerator is \( x - 2 \). As \( x \) approaches 3 from the left:
\[
...