Problem

This is a polynomial limit at infinity — you're comparing the growth rates of the numerator and denominator. The key insight is that the highest-degree term dominates: the numerator grows like $ax^2$ while the denominator grows like $x$, so their ratio behaves like $\frac{ax^2}{x} = ax$. Since $a > 0$, that ratio keeps getting larger without bound.

This is a polynomial limit at infinity — you're comparing the growth rates of the numerator and denominator. The key insight is that the highest-degree term dominates: the numerator grows like $ax^2$ while the denominator grows like $x$, so their ratio behaves like $\frac{ax^2}{x} = ax$. Since $a > 0$, that ratio keeps getting larger without bound.