Question

Please help me find the horizontal asymptote.

Answer 1

`y=3/2`

Explanation:

`f(t)=(3t^(1/3))/((64t^2 +4)^(1/6)) \\ \\ =(3)/((64+4t^(-2))^(1/6)) \\ \\ \\ \lim_(t \to \infty) f(t)=(3)/(64^(1/6))=3/2 \\ \\ \\ \lim_(t \to -\infty) f(t)=(3)/(64^(1/6))=3/2 \\ \\ \therefore y=3/2`