Finding the asymptotes of a rational function: Constant over linear

Bob Brinks asked Oct 5, 2023

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Bob Brinks asked Oct 5, 2023

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13 votes

The vertical asymptote of f(x) is x=2, to compte the horizontal asymptotes we notice that:

$\begin{gathered} \lim _(x\rightarrow\infty)f(x)=0, \\ \lim _(x\rightarrow-\infty)f(x)=0. \end{gathered}$

Therefore, f(x) has a horizontal asymptote at y=0.

Answer:

Andrsmllr answered Oct 8, 2023

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