Show that the set of accumulation points of the sequence $a_n = \sin{n}$ is the closed interval $[-1, 1]$
70301
$\sin(n)$ subsequence limits set
125962
The set $A'$ is closed in a $T_1$ space
33976
Prove that $\lim_{n \to \infty} \sqrt[n]{a} = 1$ using only the basic properties of sequences
21570
Intersection of a family of non-empty closed intervals
17779
Proving the Limit of a Sequence of without the Dominated Convergence Theorem
87834
How can we show that the following sequence converges?
147661
Show that {$x_n$} is a convergent sequence if $d(x_{n+2}, x_{n+1})≤ rd(x_{n+1}, x_n)$
128482
The set of subsequential limits is closed
105882
Prove that the sequence with $T(0)=1$ and $T(n) = 1 + \sum_{j=0}^{n-1}T(j)$ is given by $T(n)=2^n$
102170
Showing a Sequence and its Limit are Closed
3649
Closed unit interval is connected proof
155695
The convergence of a sequence
112663
Let $a_n$ be a sequence s.t $a_1 > 0 \land a_{n+1} = a_n + \dfrac{1}{a_n}$. Prove that $a_n$ is increasing and tends to infinity
79767
Properties of $x_k=\frac{a_{k+1}-a_{k}}{a_{k+1}}$ where $\{a_n\}$ is unbounded, strictly increasing sequence of positive reals
136851
Proof that the set of subsequential limits is closed
69283
The limit points of an open interval (open set)
90074
Show that the sequence $1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,1,5,1,6,1,7,1,8,1,9,2,0,2,1,\cdots$ isn't periodic