When we have $F(n) = \Omega(H(n))$ and $G(n)=\mathcal{O}(H(n))$.
Can we prove that $G(n)/F(n) = \mathcal{O}(1)$?
I tired to use the definitions of $\mathcal{O}$ and $\Omega$ but all I ended up with were two inequalities that I couldn't use.
Thanks