How to show that this sequence converges to this limit
686
$\sqrt{c+\sqrt{c+\sqrt{c+\cdots}}}$, or the limit of the sequence $x_{n+1} = \sqrt{c+x_n}$
107735
What does the following sequence converge to?
113172
Please show me how to calculate the folowing limit of a sequence
34723
Proof of a limit for a recursively-defined sequence
58985
Does an increasing sequence of reals converge if the difference of consecutive terms approaches zero?
62937
Test for the convergence of the sequence $S_n =\frac1n \left(1 + \frac{1}{2} + \frac{1}{3} + \cdots+ \frac{1}{n}\right)$
74522
Convergence of a sequence, $a_n=\sum_1^nn/(n^2+k)$
53105
How to prove that this sequence converges? $\sum_{n=1}^{\infty} \frac{1}{n\ln^2(n)}$
117764
Almost surely convergence of the sequence
138052
How to work out the limit of  this bounded sequence?
141484
Convergence of a sequence by convergence of sub-subsequence
110680
Convergence of recursive sequence $a_{n+1} =\frac{ 1}{k} \left(a_{n} + \frac{k}{a_{n}}\right)$
15319
Convergence of recurrence sequence
67420
Limit of quotient sequence
30471
Show that $a_{n+1}= 1 + \frac{1}{a_n}$ converges.
100580
Proof that a sequence converges.
46830
Prove that the sequence $a_{n+1} =\frac{1}{2}\left(a_{n}+\frac{c}{a_{n}}\right)$ is convergent and find its limit