Question

Find the vertical and horizontal asymptotes of P(x) = 4x2/(x3 – 1)
can some one tell me which one should i pick?
No horizontal or vertical asymptotes
Horizontal asymptote at y = 0 and vertical asymptote at x = 1
No horizontal asymptote and vertical asymptote at x = 1
Horzontal asymptote at y = 0 and vertical asymptote at x = -1

Answer 1

Just to be clear is it \[\frac{ 4x ^{2} }{ x ^{3}-1 }\] correct?

Answer 2

yes

Answer 3

Its been awhile but I think the numerator determines if there is a horizontal asymptote and the denominator determines a vertical asymptote. But I could be wrong but if you graph it with a calculator, you get a vertical asymptote at x=1 and a horizontal asymptote at y=0.