Limits, question 30

A student evaluates the limit below as shown. Find the first line that is wrong.

\lim_{x \to 2} \frac{x^{2} - 4}{x^{2} - 3x + 2}

$\lim_{x \to 2} \frac{x^{2} - 4}{x^{2} - 3x + 2} = \lim_{x \to 2} \frac{-4}{-3x + 2}$
The x² on top and bottom cancel.
$= \frac{-4}{-3(2) + 2}$
Substitution works now, because the denominator is no longer zero at x = 2.
$= \frac{-4}{-4} = 1$
Simplify.

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