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OpenStudy (anonymous):

When in the horizontal asymptote 0?

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myininaya (myininaya):

when the degree of the polynomial on top is less than the degree of the polynomial on bottom

OpenStudy (anonymous):

Example, x2/x

OpenStudy (amistre64):

\[\frac{x}{x^2}\] \[\frac{x/x}{x^2/x}\] \[\lim_{x->\infty}\ \frac{1}{x}=0\]

OpenStudy (amistre64):

that was odd lol

OpenStudy (amistre64):

dont we normally divide out the bottom?

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OpenStudy (amistre64):

\[\frac{x}{x^2}\] \[\frac{x/x^2}{x^2/x^2}\] \[\frac{1/x}{1}=\frac{1}{x}\]

myininaya (myininaya):

gj lol

OpenStudy (zarkon):

when \[\lim_{x\to\infty}f(x)=0\] or \[\lim_{x\to-\infty}f(x)=0\] f(x) need not be a rational function

OpenStudy (anonymous):

for example \[\lim_{x\rightarrow\infty}\frac{\sin(x)}{x}\]

myininaya (myininaya):

nope it doesn't have to be rational

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