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The image contains a calculus problem asking for the limits and values of a function \( f(x) \) based on its graph. The specific questions are:

5. For the function \( f \) whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why:

- (a) \( \lim\limits_{x \to 1} f(x) \)
- (b) \( \lim\limits_{x \to 3^-} f(x) \)
- (c) \( \lim\limits_{x \to 3^+} f(x) \)
- (d) \( \lim\limits_{x \to 3} f(x) \)
- (e) \( f(3) \)

There's also a graph shown in the lower part of the image, which represents the function \( f(x) \), but the details of the graph are slightly unclear. Could you confirm the graph's characteristics around \( x = 1 \) and \( x = 3 \) (like any discontinuities, jumps, or if the graph approaches any specific values at those points)? This will help in interpreting the limits and the value of \( f(3) \).

Let me know if you want me to try interpreting the graph more closely or if you have clearer information!

For the function f whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

This problem involves calculating the limits and determining the value of f(3) for a given graph of f(x). It includes concepts like one-sided limits, continuity, and interpreting graph behavior at specific points, suitable for high school calculus students.

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