Problem

The key insight is recognizing that $\sin(3x+\pi/7)$ is bounded—it oscillates between $-1$ and $1$ regardless of how large $x$ gets. When you divide a bounded quantity by $x^2$, which grows without limit, the fraction shrinks toward zero. This is a classic "bounded over unbounded" scenario where the denominator's growth dominates completely.

The key insight is recognizing that $\sin(3x+\pi/7)$ is bounded—it oscillates between $-1$ and $1$ regardless of how large $x$ gets. When you divide a bounded quantity by $x^2$, which grows without limit, the fraction shrinks toward zero. This is a classic "bounded over unbounded" scenario where the denominator's growth dominates completely.