1. **Problem Statement:** Evaluate the right-hand limit $$\lim_{x \to 3^+} f(x)$$ based on the given graph description. 2. **Understanding the limit:** The right-hand limit $$\lim_{x \to 3^+} f(x)$$ means we observe the behavior of $$f(x)$$ as $$x$$ approaches 3 from values greater than 3. 3. **Analyzing the graph near $$x=3$$:** - At $$x=3$$, the graph value is about $$y=3$$. - Just after $$x=3$$ (for $$x > 3$$), the graph dips sharply downward near $$x=5$$ forming a vertical asymptote. 4. **Interpreting the limit:** Since the limit is from the right of 3, we look at values slightly greater than 3. The graph rises to about $$y=3$$ at $$x=3$$ and then dips sharply downward as $$x$$ approaches 5. 5. **Conclusion:** As $$x \to 3^+$$, the function value is close to $$3$$ (no sudden jump or asymptote immediately after 3). Therefore, $$\lim_{x \to 3^+} f(x) = 3$$. **Final answer:** $$\boxed{3}$$