Evaluate: `lim_( x to 2) (x^(2)-4)/(x^(3)-4x^(2)+4x)`

Explanation

To evaluate the limit \( \lim_{x \to 2} \frac{x^2 - 4}{x^3 - 4x^2 + 4x} \), we will follow these steps:

### Step 1: Factor the numerator and the denominator
First, we notice that the numerator \( x^2 - 4 \) can be factored using the difference of squares:

\[ x^2 - 4 = (x - 2)(x + 2) \]
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