https://file.aiquickdraw.com/mathbot/file/1728263472821wqf305tl.jpg

The problem in the image asks for the value of the limit:

\[
\lim_{x \to 2} (2x - 8)
\]

To solve this, we can directly substitute \( x = 2 \) into the expression \( 2x - 8 \):

\[
2(2) - 8 = 4 - 8 = -4
\]

Therefore, the value of the limit is \(-4\).

The correct answer is **D**.

Would you like more details or have any other questions?

Here are five follow-up questions:
1. What is the definition of a limit?
2. How can you compute limits for more complex functions?
3. What happens if you substitute into a limit and get an indeterminate form?
4. Can limits be evaluated at points where the function is undefined?
5. What are the different types of limits (one-sided, two-sided)?

**Tip**: For simple linear functions like \( 2x - 8 \), limits can usually be found by direct substitution unless the function behaves differently near the point of interest.

This problem evaluates the limit of a linear function as x approaches 2. Learn how to solve limits using direct substitution, which leads to the correct result of -4. Perfect for students in Grades 11-12.

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