Question

question 9 (1 point)

determine \\(\lim_{x \to -2} f(x)\\) where \\(f(x) = \

$$\begin{cases} 6 & \\text{if } x = -2 \\\\ -6 & \\text{if } x \ eq -2 \\end{cases}$$

\\)

-2
the limit does not exit
6
-6

Explanation:

Analyze the behavior of the function near the limit point

$$ \text{For } x \to -2, \text{ we consider values where } x eq -2. $$

Evaluate the limit using the appropriate piece

$$ \lim_{x \to -2} f(x) = \lim_{x \to -2} (-6) = -6 $$

Answer:

• -2
• The limit does not exit
• 6
• -6 (Correct answer)