Finding the limit of the recursive sequence $r_{n+1} = \sqrt{2 + r_n}$
686
$\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$
34723
Proof of a limit for a recursively-defined sequence
101766
Recursive sequence convergence.: $s_{n+1}=\frac{1}{2} (s_n+s_{n-1})$ for $n\geq 2$, where $s_1>s_2>0$
112595
Prove that the limit of this sequence is $\frac{1}{2}(1 + \sqrt{5})$
37394
How to find $\lim\limits_{n\to\infty} n·(\sqrt[n]{a}-1)$?
138052
How to work out the limit of  this bounded sequence?
66526
Find the limit of: $\lim_{n\to\infty} \frac{1}{\sqrt[n+1]{(n+1)!} - \sqrt[n]{(n)!}}$
17090
Compute $\lim_\limits{n\to\infty}a_n$ where $a_{n+2}=\sqrt{a_n.a_{n+1}}$
19657
Does the recursive sequence $a_1 = 1, a_n = a_{n-1}+\frac{1}{a_{n-1}}$ converge?
81052
Determining a limit of parametrized, recursively defined sequence $a_{n+1}=1+\frac{(a_n-1)^2}{17}$
139356
How to find the limit of a sequence?
5797
Limit of the sequence $a_n=\sqrt[n+1]{(n+1)!}-\sqrt[n]{n!}$
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
114481
Calculating $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
132947
How to calculate the limit of $\frac{a_n}{n^2}$ for the sequence $a_{n+1}=a_n+\frac{2 a_{n-1}}{n+1}$?
88782
Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$
148492
Finding the limit of the sequence $(1 - 1/\sqrt 2) \dotsm ( 1 - 1/\sqrt {n+1})$