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### Part 1: Evaluate the limit

Evaluate the following limit by simplifying the expression (first answer box) and then evaluating the limit (second answer box).
$\displaystyle{ \lim_{x\to 4} {\frac{x^{2}-16}{x-4}} = \lim_{x\to 4} }$ $\displaystyle{= }$ .
Note: In your written solution, you should write the limit statement $\displaystyle{\lim_{x \to 4}}$ in every step except the last one, where the limit is finally evaluated.

### Part 2: Follow-up question

$\displaystyle{ \lim_{x\to 4} \frac{ x - 4 }{ \sqrt{x} - \sqrt{4} } = \lim_{x\to 4} }$ $\displaystyle{= }$ .
Hint: Think of $x-4$ as a difference of squares and factor it, or use the “conjugate trick”.

Your overall score for this problem is