$T_{3}=\Theta(n^{0.99}),\quad T_{2}=\Theta(n^{\log\log n}),\quad T_{1}=\Theta \left(\frac{n}{\log n}\right)$
I need to decide what is the relation (ratio?) between $ T_{1},\, T_{2},\, T_{3}$?
So by taking $\log$ on the three of them I came to conclusion that $ T_{3}>T_{1},\,T_{2}$.
$\log T_{3}=0.99n$, $\log T_{2}=(\log\log n)\log n$ and $\log T_{1}=\log n-\log\log n$
What do you think?
Thanks