The graph provided shows a function $f(x)$, and the question asks for the limit as $x \to \infty$.

Let's analyze the graph behavior as $x \to \infty$:

• As $x$ moves to the right (towards infinity), it appears that the function $f(x)$ increases without bound. The curve heads upwards and does not approach any horizontal asymptote.
• This indicates that $f(x)$ tends toward $\infty$ as $x \to \infty$.

Therefore, the answer to the limit is: $\lim_{x \to \infty} f(x) = \infty$

Do you want further details or explanations? Here are five related questions:

1. What is a horizontal asymptote and how can you identify it from a graph?
2. How do limits at $x \to -\infty$ differ from those at $x \to \infty$?
3. What are vertical asymptotes and how are they represented on a graph?
4. Can you explain the concept of unbounded behavior in functions?
5. What happens if a function approaches different limits at positive and negative infinity?

Tip: When looking at limits, always check for any asymptotes or unbounded behavior in the graph.