Prove that a sequence converges to $\sqrt{2}$
142
Showing the sequence converges to the square root
27068
Show that $\sqrt{2+\sqrt{2+\sqrt{2...}}}$ converges to 2
78886
Convergence of the sequence $\sqrt{1+2\sqrt{1}},\sqrt{1+2\sqrt{1+3\sqrt{1}}},\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1}}}},\cdots$
74542
Convergence of a sequence whose even and odd subsequences converge
155695
The convergence of a sequence
93545
Showing the sequence converges $a_{1}=\frac{1}{2}$, $a_{n+1}=\frac{1}{2+a_{n}}$
138819
Prove that $\phi(n) \geq \sqrt{n}/2$
54659
How prove that $(a_{n})_{n \in \mathbb{N}}$ is convergent with $a_{0}=1$, $a_{n+1}= \sqrt{2a_{n}}$?
107311
Convergence of a sequence and some of its subsequences
9044
Convergence of the sequence $(1+\frac{1}{n})(1+\frac{2}{n})\cdots(1+\frac{n}{n})$
132948
Prove if $\left\{x_n\right\}$ converges to $2$, then $\left\{\frac{1}{x_n}\right\}$ converges to $\frac{1}{2}$
17902
Prove or disprove: $\sum a_n$ convergent, where $a_n=2\sqrt{n}-\sqrt{n-1}-\sqrt{n+1}$.
49507
Is this sequence convergent?
55826
Convergence of sequence of real numbers and (sub)subsequence
20909
For each positive integer $n$, let $x_n=1/(n+1)+1/(n+2)+\cdots+1/(2n)$. Prove that the sequence $(x_n)$ converges.
79266
Proving a sequence defined by a recurrence relation converges
143642
Does the sequence $(\sqrt{n} \cdot 1_{[0, 1/n]})_n$ converge weakly in $L^2$?