i need the answer with in limit theroem step by step showing if f$($n$)=$ Og$($n$)$ then f$($n$)/$g$($n$)=0$ and if f$($n$)=$ omega $($g$($n$))$ then f$($n$)/$g$($n$)=$ infinity and if f$($n$)=$ theta$($g$($n$))$ then f$($n$)/$g$($n$)=$ constant grater than zero where f$($n$)=3^{\frac{n}{2}+6\sqrt[\phantom{2}]{n}+10}$ and $g(n)=2^n.$