Mathematics 98 Online OpenStudy (anonymous):

When in the horizontal asymptote 0? 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? 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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