Here is the graph of $\sin\left(\frac{1}{x}\right)$, showing the key characteristics we discussed: rapid oscillations as $x$ approaches 0, and flattening toward 0 as $|x|$ increases.

Would you like more details on any part of the explanation or graph?

Here are five related questions to explore this further:

1. What happens to $\sin\left(\frac{1}{x}\right)$ as $x \to \infty$?
2. How does the function behave when $x \to 0$ from the left side?
3. Why can't we define $\sin\left(\frac{1}{x}\right)$ at $x = 0$?
4. How do the oscillations of $\sin\left(\frac{1}{x}\right)$ compare to other functions like $\frac{1}{x}$?
5. Can $\sin\left(\frac{1}{x}\right)$ be integrated over an interval containing $x = 0$?

Tip: When graphing functions with undefined points or rapid oscillations, focus on marking key behaviors and avoiding unnecessary clutter near undefined regions.