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The given function is:

\[
f(x) = \frac{2x - 4}{2 - x}
\]

Now, let's analyze the statements to determine which are correct.

### Step 1: Simplify the function
We can simplify \( f(x) \):

\[
f(x) = \frac{2(x - 2)}{2 - x}
\]

Notice that \( 2 - x \) can be written as \( -(x - 2) \), so:

\[
f(x) = \frac{2(x - 2)}{-(x - 2)} = -2 \quad \text{for} \quad x \neq 2
\]

Thus, for all \( x \neq 2 \), \( f(x) = -2 \).

### Step 2: Determine if \( f(2) \) exists
At \( x = 2 \), the denominator becomes zero:

\[
f(2) = \frac{2(2) - 4}{2 - 2} = \frac{0}{0}
\]

Since we have an indeterminate form \( \frac{0}{0} \), \( f(2) \) is undefined.

### Step 3: Evaluate limits around \( x = 2 \)

1. **Limit as \( x \to 2^- \)**:
   - As \( x \to 2 \) from the left, \( f(x) = -2 \).

2. **Limit as \( x \to 2^+ \)**:
   - As \( x \to 2 \) from the right, \( f(x) = -2 \).

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

### Step 4: Analyze the statements
- **a. Nilai \( f(2) \) tidak ada (The value \( f(2) \) does not exist)**: **True**. As shown, \( f(2) \) is undefined.
- **b. \( \lim_{x \to 2} f(x) = 2 \)**: **False**. The correct limit is \( -2 \), not 2.
- **c. \( \lim_{x \to 2^+} f(x) = -2 \)**: **True**. The limit from the right is indeed \( -2 \).
- **d. \( \lim_{x \to 2} f(x) tidak ada (The limit as \( x \to 2 \) does not exist)**: **False**. The limit exists and equals \( -2 \).
- **e. \( \lim_{x \to 2^-} f(x) = -2 \)**: **True**. The limit from the left is also \( -2 \).

### Conclusion
The correct statements are: **a, c, and e**.

Would you like a further explanation or have any specific questions?

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Here are some related questions you might find useful:
1. How do you determine limits of a function at a point?
2. What is the meaning of a limit from the left or right?
3. How do you handle indeterminate forms like \( \frac{0}{0} \)?
4. Why do we say a function is undefined at a point?
5. What happens when the limit exists, but the function is undefined?

**Tip**: Always check the behavior of a function from both sides of a point to confirm whether the limit exists.

Diketahui fungsi f(x) = (2x - 4) / (2 - x). Berikut adalah pernyataan yang benar ...

Analyze the function f(x) = (2x - 4) / (2 - x) to determine the correct limits at x = 2. Learn how to handle indeterminate forms and explore the behavior of functions near critical points. This problem covers limits, functions, and indeterminate forms, suitable for Grades 11-12.

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