To find the limit \(\lim_{x \to 4} (2x + 7)\), you can simply substitute \(x = 4\) into the expression \(2x + 7\).

Let's calculate it:

\[
\lim_{x \to 4} (2x + 7) = 2(4) + 7 = 8 + 7 = 15
\]

So, the limit is \(15\), not \(-1\).

Would you like further details or explanations? Here are some related questions you might find useful:

1. What is the definition of a limit in calculus?
2. How do you find limits for more complex functions?
3. What happens if a limit doesn't exist?
4. How do you solve limits using L'Hôpital's Rule?
5. What are one-sided limits and how are they different from two-sided limits?

**Tip:** When solving limits, always try substituting the value directly first. If it works without any issues (like division by zero), that’s your answer!

Discover how to calculate the limit of the expression 2x + 7 as x approaches 4. This problem demonstrates the application of the Direct Substitution Theorem in calculus. Suitable for students in Grades 11-12.

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