https://file.aiquickdraw.com/mathbot/file/1726827742753qiahzsx1.jpg

The problem in the image asks to determine the limit \(\lim_{x \to 2} f(x)\) from the graph.

Let's analyze the graph:

1. The graph is piecewise and shows a function with two lines intersecting the vertical line at \(x = 2\). 
2. To find the limit, we need to look at the values of \(f(x)\) as \(x\) approaches 2 from both sides (left and right):

   - **From the left (\(x \to 2^-\)):** The graph approaches the value \(y = 3\) as \(x\) approaches 2 from the left.
   - **From the right (\(x \to 2^+\)):** The graph approaches the value \(y = 1\) as \(x\) approaches 2 from the right.
   
Since the left-hand limit (\(3\)) and the right-hand limit (\(1\)) are not equal, the limit does not exist.

Therefore, the correct answer is **d. Tidak Ada (There is no limit).**

Would you like further details on this explanation or any other clarification?

Here are five related questions:
1. What is the definition of a limit?
2. How can you determine if a function is continuous at a point?
3. What happens if the left and right limits are different at a point?
4. Can the limit exist if the function is not defined at the point itself?
5. What is the difference between a one-sided and two-sided limit?

**Tip:** When evaluating limits from a graph, always check both sides of the point to see if the function approaches the same value from the left and right.

Tentukan \lim_{x \to 2} f(x) berdasarkan grafik.

Determine the limit of a piecewise function at x = 2 based on the graph. Learn about one-sided limits and how to evaluate limits when the function approaches different values from the left and right. This problem is suitable for students in Grades 11-12.

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