Let's break down the content from the image you uploaded:

Question 1:

The question is asking you to evaluate the following limit: $\lim_{x \to 2} \frac{3f(x) + x^2}{x} \quad \text{given that} \quad \lim_{x \to 2} f(x) = 6.$

To solve this, we can substitute the given limit value $\lim_{x \to 2} f(x) = 6$ into the expression. This gives us: $\lim_{x \to 2} \frac{3(6) + x^2}{x} = \lim_{x \to 2} \frac{18 + x^2}{x}.$ Now, substitute $x = 2$ into the expression: $\frac{18 + 2^2}{2} = \frac{18 + 4}{2} = \frac{22}{2} = 11.$

So, the correct answer for Question 1 is (c) 11.

Question 2:

This question asks you to determine which limit is represented by the graph provided. Unfortunately, I cannot visually interpret the graph at the moment. If you describe it to me (e.g., whether the graph approaches a certain value or has a discontinuity), I can help you determine the limit from the graph.

Let me know if you'd like further clarification or if you need assistance with any other questions! Here are some follow-up questions that might help deepen your understanding:

1. What is the general rule for evaluating limits of functions as $x \to a$?
2. How does the presence of a discontinuity in a graph affect the limit?
3. What happens if the limit does not exist?
4. Can you explain how piecewise functions affect limits?
5. How do you handle limits involving infinity?

Tip: When evaluating limits, always check for direct substitution first. If that leads to an indeterminate form like $\frac{0}{0}$, other techniques like factoring, rationalizing, or L'Hôpital's rule can help.