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across Group TitleBest ResponseYou've already chosen the best response.0
We're here to help.
 one year ago

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

across Group TitleBest 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

alfira Group TitleBest ResponseYou've already chosen the best response.0
equal to 1 ?
 one year ago

across Group TitleBest ResponseYou've already chosen the best response.0
How did you get that?
 one year ago

alfira Group TitleBest ResponseYou've already chosen the best response.0
x^2 / X^2 +3/x^2
 one year ago

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

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

across Group TitleBest 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

across Group TitleBest 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

alfira Group TitleBest ResponseYou've already chosen the best response.0
same thing ?
 one year ago
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