Write the value of `lim_(x->2)(|x-2|)/(x-2)`

Explanation

To solve the limit \( \lim_{x \to 2} \frac{|x - 2|}{x - 2} \), we need to evaluate the left-hand limit (LHL) and the right-hand limit (RHL) separately due to the absolute value in the expression.

### Step 1: Evaluate the Left-Hand Limit (LHL)

The left-hand limit as \( x \) approaches 2 from the left (denoted as \( 2^- \)) can be expressed as:
\[ \lim_{x \to 2^-} \frac{|x - 2|}{x - 2} \]
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