The image shows two limit expressions. Let's break them down:

1. The first part of the image shows:

$\lim_{{x \to 8}} \left(\dots\right)$

This seems to indicate that a limit is being evaluated as $x$ approaches 8, though the function to be evaluated isn't clear from the image.

2. The second part of the image shows:

$\lim_{{x \to -\frac{1}{2}}} \left(\dots\right)$

Here, the limit is being taken as $x$ approaches $-\frac{1}{2}$, but again the actual function inside the limit isn't visible.

Could you confirm or clarify what functions are being evaluated inside these limits? If the limits relate to a specific function or need additional context, feel free to share!

Let me know if you want more details on how limits work, or if you'd like to dive deeper into solving limit problems!

Here are 5 follow-up questions to consider:

1. Do you have the functions that these limits are being applied to?
2. Are these limits part of a larger calculus problem you're working on?
3. Do you need help understanding how limits are calculated?
4. Would you like to explore limits involving piecewise or continuous functions?
5. Are you interested in learning about limits at infinity?

Tip: When evaluating limits, always check for potential indeterminate forms (e.g., $\frac{0}{0}$), as these often require using L'Hopital's Rule or factoring techniques to resolve.