There exists $N\in \Bbb{N} $ such that $N>2$ and for all $n>N$,$\phi(N)<\phi(n)$ / $\{\frac {\phi(n)}n:n\in\Bbb{N}\}$ has finitely many limit points.
Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$