prove that the sequence $x_{n+1} = \frac3{4-x_n}$ is converging and find its limit
93022
Prove that a given recursion sequence converges
30598
Showing that the sequence converges knowing that three other sequences converge
112430
Prove that sequence $ x_{(n+1)}= \frac {a}{1+x_n}$ is convergent to positive root of $x^2+x-a=0,$where $a >0$ and $x_1 >0$
141463
Convergence of $x_{n+1} = \frac12(x_n + \frac2{x_n}).$
150000
Convergence of the sequence $\frac{1}{n\sin(n)}$
87116
Prove $ \lim_{n\to \infty}\frac{n}{n+1} = 1$ using Cauchy (epsilon) definition of a limit of a sequence
112595
Prove that the limit of this sequence is $\frac{1}{2}(1 + \sqrt{5})$
107470
To show that the limit of the sequence $\sum\limits_{k=1}^n \frac{n}{n^2+k^2}$ is $\frac{\pi}{4}$
79266
Proving a sequence defined by a recurrence relation converges
112468
two converging sequences results in third
34723
Proof of a limit for a recursively-defined sequence
143227
Show that: $\lim \limits_{n\to\infty}\frac{x_n-x_{n-1}}{n}=0 $
88782
Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$
35885
Monotonicity and convergence of the sequence $a_n=\sum_{k=1}^{n}\frac{1}{k+n}$
18675
$\{a_n\}$ sequence $a_1=\sqrt{6}$ for $n \geq 1$ and $a_{n+1}=\sqrt{6+a_n}$ show it that convergence and also find $\lim_{x \to \infty} \{a_n\}$
30495
Analysis: Prove divergence of sequence $(n!)^{\frac2n}$
30471
Show that $a_{n+1}= 1 + \frac{1}{a_n}$ converges.