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The problem presented asks for the limit of \( f(x) \) as \( x \) approaches 3, using the graph of the function \( f \). Specifically, it wants:

\[
\lim_{x \to 3} f(x)
\]

### Analyzing the Graph:
Looking at the graph, we observe the behavior of the function near \( x = 3 \):
- From the **left-hand side** (\( x \to 3^- \)), the graph approaches a value of 2.
- From the **right-hand side** (\( x \to 3^+ \)), the graph also approaches a value of 2.

Since both the left-hand limit and the right-hand limit as \( x \to 3 \) are equal to 2, the limit exists and is equal to 2.

Thus, the correct answer is:
\[
\boxed{2}
\]

Would you like more details or have any other questions about this solution?

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Here are 5 related questions:
1. What is the definition of a limit?
2. How do you determine if a limit exists based on a graph?
3. What is the difference between a one-sided and two-sided limit?
4. How can discontinuities affect the existence of limits?
5. What is the meaning of a limit approaching infinity?

**Tip**: When analyzing limits graphically, always check the behavior of the function from both the left and right sides near the point of interest.

The graph of the function f is shown above. What is the limit of f(x) as x approaches 3?

Learn how to find the limit of the function f(x) as x approaches 3 using graphical analysis. This problem illustrates key calculus concepts such as limits and the behavior of functions from both sides of a point.

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