Evaluate: `lim_(xrarr2) (x^(3)-2x^(2))/(x^(2)-5x+6)`

Explanation

To evaluate the limit \( \lim_{x \to 2} \frac{x^3 - 2x^2}{x^2 - 5x + 6} \), we will follow these steps:

### Step 1: Substitute \( x = 2 \)
First, we will substitute \( x = 2 \) into the numerator and denominator to check if we get a determinate form.

**Numerator:**
\[
x^3 - 2x^2 = 2^3 - 2 \cdot 2^2 = 8 - 8 = 0
...