Question about vertical asymptotes

[Danielle058]

I have a simple question that is.. find the vertical asymptotes for
(x^2-1)/(x^3-2x^2+x) So far I have the vertical asymptotes appearing at 1 and 0 I am wondering if I am missing any or if i got them all. Maybe i'm not even close i don't know. Could someone help me... Thanks

 

[tkhunny]

That looks good.

It is a little odd, since it is often said that zeros of the denominator are vertical asymptotes UNLESS they are also zeros fo the numerator. That statement, however, does not include the possibilty of multiple zeros.

You have an x-1 in the numerator. It evaporates ONE of the idenitcal factors in the denominator, but still leaves one. It's still an asymptote.

Good call.