Question

question 7
find limₓ→ - 2 f(x)
-8
limit does not exist
-7

Explanation:

Step1: Analyze left - hand limit

As \(x\) approaches \(- 2\) from the left side (\(x\to - 2^{-}\)), by looking at the graph, the \(y\) - values approach \(-7\).

Step2: Analyze right - hand limit

As \(x\) approaches \(- 2\) from the right side (\(x\to - 2^{+}\)), by looking at the graph, the \(y\) - values approach \(-7\).

Step3: Determine the limit

Since the left - hand limit \(\lim_{x\to - 2^{-}}f(x)=-7\) and the right - hand limit \(\lim_{x\to - 2^{+}}f(x)=-7\), then \(\lim_{x\to - 2}f(x)=-7\).

Answer:

-7