Identify the horizontal asymptote of f(x)= 2x-1 over x^2-7x+3

QUESTION POSTED AT 01/06/2020 - 04:45 PM

Answered by admin AT 01/06/2020 - 04:45 PM

\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}

if the degree of the denominator is greater than that of the numerator's, the rational has no horizontal asymptote.
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