Question

use the graph to find the indicated limits.

step 3 of 3: find \\(\lim_{x \to -1} f(x)\\).

Explanation:

Analyze the behavior of the function as \(x\) approaches \(-1\) from the left

$$ \lim_{x \to -1^-} f(x) = \infty $$

Analyze the behavior of the function as \(x\) approaches \(-1\) from the right

$$ \lim_{x \to -1^+} f(x) = -2 $$

Determine the overall limit

$$ \lim_{x \to -1^-} f(x) eq \lim_{x \to -1^+} f(x) \implies \lim_{x \to -1} f(x) \text{ does not exist} $$

Answer:

Does not exist