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Use the graph of y=f(x) to find the limits:

Step 2 of 4 :  

Find limx→3+f(x)

To determine \(\lim_{{x \to 3^+}} f(x)\), which represents the right-hand limit of \(f(x)\) as \(x\) approaches 3, we need to observe the graph near \(x = 3\) from the right side.

From the graph:

- As \(x\) approaches 3 from values greater than 3 (i.e., from the right side), the function \(f(x)\) appears to approach a value of approximately 5, based on the height of the point right after \(x = 3\).

Thus:

\[
\lim_{{x \to 3^+}} f(x) = 5
\]

Let me know if you'd like further details or if you have more questions! Here are 5 related questions to explore:

1. How is the left-hand limit \(\lim_{{x \to 3^-}} f(x)\) different from the right-hand limit \(\lim_{{x \to 3^+}}\)?
2. What is the overall limit \(\lim_{{x \to 3}} f(x)\) based on this graph?
3. How do we determine if a function is continuous at a point like \(x = 3\)?
4. What can be said about the behavior of the function at points where the graph has jumps or vertical asymptotes?
5. How would you interpret the limit \(\lim_{{x \to -2}} f(x)\) based on the graph?

**Tip:** To find a limit graphically, always check whether you're looking from the left, right, or both sides at the point in question!

Use the graph of y=f(x) to find the limits: Step 2 of 4: Find lim x→3+ f(x)

Learn how to find the right-hand limit lim x→3+ f(x) from a graph. Understand the process of determining limits using graph analysis and explore the key concepts of limits in calculus. Suitable for students in Grades 11-12.

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