Horizontal Asymptote of the given function is :
[tex] \boxed{ \boxed{y = 0}}[/tex]
Solution :
let's Calculate the limits :
[tex]lim \: \: {\tiny{x→∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0 \\ \\ lim \: \: {\tiny{x→ - ∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0 \\ \\ [/tex]
Therefore, the horizontal asymptote is y = 0
