Question

Is there a horizontal asymptote for the function f(x) = 2x^3 + 2 over (x-3)

Answer 1

NO !
Because :
\[\lim_{x\to+\infty}f(x)=+\infty\\\lim_{x\to-\infty}f(x)=-\infty\]

Answer 2

The VA is at x = 3 and there is a parabolic asymptote at 2 x^2+6 x+18

Answer 3

@SA5UK3 The question "Is there a horizontal asymptote ...?"

Answer 4

I didn't think there was one. Thank you!!