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alfiraBest ResponseYou've already chosen the best response.0
find the horzontal asymptotes
 one year ago

acrossBest ResponseYou've already chosen the best response.0
All you have to do is determine the behavior of \(f\) as it approaches both \(\infty\) and \(\infty\), i.e.,\[\lim_{x\to\infty}\frac{x^2+3}{\sqrt{x^2+1}}=?\]
 one year ago

alfiraBest ResponseYou've already chosen the best response.0
everything divided by x^2
 one year ago

alfiraBest ResponseYou've already chosen the best response.0
because highest power in the function is x^2
 one year ago

acrossBest ResponseYou've already chosen the best response.0
Recall that\[\lim_{x\to\infty}\frac{x^2+3}{\sqrt{x^2+1}}=\lim_{x\to\infty}\frac{x^2}{\sqrt{x^2}}=\lim_{x\to\infty}\frac{x^2}{x}=\lim_{x\to\infty}x=\infty.\]
 one year ago

acrossBest ResponseYou've already chosen the best response.0
So it has no horizontal asymptote as \(x\to\infty\). What about \(x\to\infty\)?
 one year ago
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