It looks like you're dealing with a right-hand limit problem:

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

To determine whether the limit exists and find its value, you'll need information about the function $f(x)$.

• If $f(x)$ approaches a specific finite value as $x$ approaches 2 from the right, then the limit equals that value.
• If $f(x)$ increases or decreases without bound or behaves erratically, the limit does not exist.

Could you provide the function definition or a graph of $f(x)$? That way, I can help determine the correct answer.

Related Questions:

1. What does it mean for a limit to exist?
2. How do you evaluate one-sided limits?
3. What are common situations where a limit does not exist?
4. How do discontinuities affect limits?
5. Can a function have different left-hand and right-hand limits?

Tip: If a function is defined piecewise, always check the relevant piece for the given direction of approach.