Question

use the graph to find the indicated limits.

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

Explanation:

Identify the target limit

We need to find the right-hand limit of \(f(x)\) as \(x\) approaches \(2\) from the positive side:

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

Analyze the graph from the right

As \(x\) approaches \(2\) from values greater than \(2\) (\(x \to 2^+\)), we follow the curve on the right side of the vertical asymptote \(x = 2\).

Determine the limit value

The curve on the right side of \(x = 2\) starts at a solid point at \((2, 2)\) and goes upwards to the right. As \(x\) approaches \(2\) from the right, the \(y\)-value of the function approaches the \(y\)-coordinate of this point, which is \(2\).

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

Answer:

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

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