Find the limit if it exists.
ModifyingBelow lim With x right arrow minus 8 left parenthesis 7 x plus 11 right parenthesis

It seems like you're asking to find the limit of the expression \(\lim_{x \to -8} (7x + 11)\).

This is a straightforward problem. Since the expression inside the limit is a linear function of \(x\), we can directly substitute \(x = -8\) into the function:

\[
7x + 11
\]

Substitute \(x = -8\):

\[
7(-8) + 11 = -56 + 11 = -45
\]

Thus, the limit is:

\[
\lim_{x \to -8} (7x + 11) = -45
\]

If you'd like more details or have any questions, feel free to ask!

Here are some related questions you might find interesting:

1. How do we evaluate the limit of polynomial functions as \(x\) approaches a specific value?
2. What are the key steps to find limits of rational functions?
3. How do limits help in understanding the behavior of functions at specific points?
4. Can you explain how limits are used in calculus, particularly in derivatives?
5. What are some examples of limits that do not exist?

**Tip:** When evaluating limits of linear functions, you can simply substitute the value of \(x\) directly into the expression, as there are no discontinuities.

Find the limit if it exists. lim as x approaches -8 of (7x + 11)

Learn how to find the limit of the linear function 7x + 11 as x approaches -8. This problem covers the basic concept of evaluating limits for continuous functions, which is suitable for students in Grades 9-11.

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