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.
2882
Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$
42539
Theorem 3.37 in Baby Rudin: $\lim\inf\frac{c_{n+1}}{c_n}\leq\lim\inf\sqrt[n]{c_n}\leq\lim\sup\sqrt[n]{c_n}\leq \lim\sup\frac{c_{n+1}}{c_n}$
104016
Limit point of the set $G= \{1/n: n \in \mathbb N\}$?
126283
Prove or Disprove if $a_n$ has 3 partial limits and $b_n$ has 2 partial limits then could it be that $a_n+b_n$ has one limit?
73823
$\lim_{n\to\infty} a_n=a$ if and only if $\forall p\in \Bbb N$, $\lim_{n\to\infty} |a_{n+p}-a_n|=0$
34960
Lower bound for $\phi(n)$: Is $n/5  1$?
23076
Proof of limit of quotient sequence property
125860
Showing that $\lim\limits_{n\to\infty}x_n$ exists, where $x_{n} = \sqrt{1 + \sqrt{2 + \sqrt{3 + ...+\sqrt{n}}}}$
144819
Proving $P(n) =n^{\phi(n)} \prod\limits_{d \mid n} \left(\frac{d!}{d^d} \right)^{\mu(n/d)}$
1911
Find a set of limit point of $A=\{ \frac{1}{m}+\frac{1}{n} : m,n \in \Bbb{N} \}$ in $\Bbb{R}$ by using the following way.
15000
Show that number of elements in $(Z/nZ)^*$ is $\phi (n)$
51398
If a sequence satisfies $\lim\limits_{n\to\infty}|a_{n+1} - a_n|=0$ then the set of its limit points is connected
97878
Are there uncountably many surjections from $\mathbb N$ to $\mathbb N$?
149509
What method would you go through to find an $n$ such that $\phi(n)=100$?
111449
Prove there is an increasing sequence ($s_n$) of points in $S$ such that $\lim s_n = \sup S$.
854
$\lim_{n\to\infty}a_nb_n=? $ given that $\lim_{n\to\infty}a_n=0$ and $\lim_{n\to\infty}b_n=\infty$
27932
Show that $\lim\limits_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n^2}$ exists and is independent of the choice of $a$