The equation you’ve provided is a limit expression:

$\lim_{n \to -1} \frac{n^p - 5n + v}{|n - v|n + 1|}$

To evaluate the limit, we can analyze the behavior of the expression as $n \to -1$. However, I need more clarification about the specific values or conditions for the constants $p$ and $v$, as these will determine how we approach the limit.

Would you like to provide more context or details for $p$ and $v$?

Also, would you like me to help step-by-step through the limit evaluation?

Some related questions for further exploration:

1. How does the absolute value affect the behavior of the function?
2. What happens when we take the limit of rational expressions like this one as $n$ approaches a particular value?
3. How do we handle indeterminate forms in limits?
4. How do we simplify rational expressions before taking limits?
5. What techniques exist for finding the limits of complex rational expressions?

Tip: When handling limits that involve absolute values, consider whether the function behaves differently based on the sign of the term inside the absolute value.