Question$\lim _{x \rightarrow(-2)} \frac{2-|x|}{x+2}$

Studdy Solution
Compare the left-hand and right-hand limits:
Since both the left-hand limit and the right-hand limit as $x \to -2$ are equal to 1, the overall limit exists and is:
$$\lim_{x \to -2} \frac{2 - |x|}{x + 2} = 1$$
The value of the limit is:
$$\boxed{1}$$