The image shows a mathematical expression related to limits. Here's what it means:

The problem is asking for the limit of a function $f(x)$ as $x$ approaches infinity:

$\lim_{x \to \infty} f(x) = 1$

This means that as $x$ grows larger and larger (approaches infinity), the value of the function $f(x)$ approaches the number 1. The function $f(x)$ "settles" to a value of 1 as $x \to \infty$, even though it might take different values for smaller $x$.

The handwritten text under the equation appears to confirm that the function approaches 1 when $x$ approaches infinity, though it's a bit unclear. It might be intended as a remark that the function converges to 1 at infinity.

Would you like me to explain more about limits, or discuss a specific function's behavior as it approaches infinity?

Here are some questions related to this:

1. What is a formal definition of a limit as $x \to \infty$?
2. How does one prove that $\lim_{x \to \infty} f(x) = 1$ for a given function?
3. What are some common types of functions where limits at infinity are used?
4. How can limits at infinity help in understanding real-world phenomena?
5. What are the differences between limits approaching infinity and limits at finite points?

Tip: Always make sure the function behaves smoothly as it approaches infinity, because abrupt changes can affect the limit.