Question

step 2 of 3: find \\(\lim_{x \to 2^+} f(x)\\).

Explanation:

Identify the target limit

The objective is to find the right-sided limit:

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

Analyze the graph from the right of \(x = 2\)

For \(x > 2\), trace the curve as \(x\) approaches \(2\) from the right:

$$ \text{As } x \to 2^+, \text{ the curve approaches the open circle at } (2, -1). $$

Determine the limit value

The \(y\)-value of the open circle at \(x = 2\) is \(-1\):

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

Answer:

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