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OpenStudy (anonymous):
What are the vertical and horizontal asymptotes for f(x) = 3x/(x^2+2)?
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OpenStudy (amistre64):
since the bottom is a ^2 and the top is a ^1 the HA is 0
OpenStudy (amistre64):
since there are no like terms after factoring top and bottom to cancel out; andthing that makes the bottom go 0 is a VA
OpenStudy (anonymous):
In this case, the bottom doesn't factor on the reals, it factors complex, so there are no "real" vertical asymptotes.
OpenStudy (anonymous):
so there are no real horizontal or vertical asymptotes?
OpenStudy (anonymous):
No, just no real vertical. There is the horizontal one at y=0
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OpenStudy (anonymous):
oh okay. Thank you.
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