The question I’m trying to answer is about asymptotic inequality. The question states, If $f(x)$ and $g(x)$ are polynomials with respective leading terms $ax^{n}$ and $bx^{m}$ then $\frac{f(n)}{g(n)} \sim \frac{a}{b}x^{n-m}$. I am confused what $f(n)$ and $g(n)$ are here, there is no information before the question to help indicate what it could mean.
Any help in starting the answer would be greatly appreciated as well.
