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The problem asks us to evaluate the right-hand limit of the function \( f(x) \) as \( x \to 1^+ \) using the given graph. Here's how we can approach it:

1. **Examine the graph near \( x = 1 \)**:
   - From the graph, as \( x \) approaches 1 from the right (\( x \to 1^+ \)), the function appears to approach the value of \( -2 \).
   - There is an open circle at \( (1, -2) \), indicating that \( f(1) \) is not defined or has a different value. However, the right-hand limit concerns what the function approaches, not the actual value at 1.

2. **Conclusion**:
   - The right-hand limit of \( f(x) \) as \( x \to 1^+ \) is \( -2 \).

Thus, \( \lim_{x \to 1^+} f(x) = -2 \).

Would you like a detailed explanation of how limits work or have any other questions?

Here are 5 related questions to deepen your understanding:
1. What is the definition of a one-sided limit?
2. How do open and closed circles on a graph affect the limit of a function?
3. How would the left-hand limit \( \lim_{x \to 1^-} f(x) \) be evaluated from this graph?
4. Can a function be continuous if a limit exists but the function value at that point is different or undefined?
5. What would change if the limit asked for \( \lim_{x \to 1} f(x) \), rather than the right-hand limit?

**Tip**: Always check both left-hand and right-hand limits to determine if a function has a two-sided limit!

Berdasarkan grafik tersebut tentukanlah lim x→1+ f(x)

Using the graph of the function f(x), determine the right-hand limit as x approaches 1. This problem involves the concept of one-sided limits and interpreting graphical features like open and closed points. Suitable for high school students studying calculus or pre-calculus.

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