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The problem you're asking about is the limit:

\[
\lim_{x \to 6} \frac{x^2 - 36}{x - 6}
\]

### Step-by-step solution:

1. **Factor the numerator:**
   \[
   x^2 - 36 = (x - 6)(x + 6)
   \]
   
2. **Simplify the expression:**
   Now, the limit becomes:
   \[
   \lim_{x \to 6} \frac{(x - 6)(x + 6)}{x - 6}
   \]
   The \((x - 6)\) terms cancel out, leaving:
   \[
   \lim_{x \to 6} (x + 6)
   \]

3. **Evaluate the limit:**
   Now, substitute \(x = 6\):
   \[
   6 + 6 = 12
   \]

### Final Answer:
The limit is \(12\), so the correct answer is:
- **c. 12**

Do you need further explanation or have any other questions?

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Here are 5 additional questions related to this concept:

1. What happens when a limit leads to an indeterminate form?
2. How can factoring help simplify limits in rational functions?
3. What is L'Hôpital's Rule, and when is it applicable?
4. Can all limits be solved by factoring? Why or why not?
5. What are the main types of limits and how are they evaluated?

**Tip:** Always check if you can simplify a function before applying a limit to avoid indeterminate forms!

Nilai dari lim (x^2 - 36) / (x - 6), where x approaches 6.

Learn how to solve the limit lim (x^2 - 36) / (x - 6) as x approaches 6. This problem involves factoring and simplifying the expression to find the correct answer of 12. Suitable for high school students studying calculus.

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