[tex]\bf \cfrac{2x-1}{x^2-7x+3}\qquad
\begin{cases}
2x^1\impliedby \textit{degree of 1}\\
x^2\impliedby \textit{degree of 2}
\end{cases}[/tex]
if the degree of the denominator is greater than that of the numerator's, the rational has no horizontal asymptote.
