The image shows a problem involving limits, specifically:

1. $\lim\limits_{x \to a^-} f(x)$
2. $\lim\limits_{x \to a^+} f(x)$
3. $\lim\limits_{x \to a} f(x)$
4. $f(a)$ (if it exists).

The graph has arrows indicating behavior as $x \to 3^-$ and $x \to 3^+$, with $f(3)$ and $f(4)$ also potentially relevant. The first part has already been answered: $\lim\limits_{x \to 3^-} f(x) = 3$.

For the second part:

$\lim\limits_{x \to 3^+} f(x)$

From the graph:

• As $x \to 3^+$, the graph approaches the value $1$.

So, $\lim\limits_{x \to 3^+} f(x) = 1$.

Let me know if you'd like further details or clarification!

Here are some related questions to consider:

1. What is $\lim\limits_{x \to 4^-} f(x)$?
2. What is $f(3)$?
3. How does the continuity of $f(x)$ change at $x = 3$?
4. Does the limit at $x = 1$ exist?
5. Can you determine $f(2)$ from the graph?

Tip:

For a limit to exist at $x = a$, both the left-hand limit and right-hand limit must be equal and finite.