Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
86205
Evaluating the limit of a sequence given by recurrence relation $a_1=\sqrt2$, $a_{n+1}=\sqrt{2+a_n}$. Is my solution correct?
37394
How to find $\lim\limits_{n\to\infty} n·(\sqrt[n]{a}-1)$?
107953
Limit of the sequence $\lim_{n\rightarrow\infty}\sqrt[n]n$
112595
Prove that the limit of this sequence is $\frac{1}{2}(1 + \sqrt{5})$
64329
Limit of the recursive sequence $a_{n+1} = \frac{1}{2}(a_n + \frac{p}{a_n})$
113172
Please show me how to calculate the folowing limit of a sequence
20245
Find asymptotic of recurrence sequence
33976
Prove that $\lim_{n \to \infty} \sqrt[n]{a} = 1$ using only the basic properties of sequences
153736
Question about convergence of a simple recursive sequence
86965
Limit of this recursive sequence: $x_{n+1}=\bigl(1-\frac{1}{2n}\bigr)x_{n}+\frac{1}{2n}x_{n-1}.$
46103
Compute: $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$
139356
How to find the limit of a sequence?
27284
Show that the sequence $\sqrt{2}, \ \sqrt{2+\sqrt{2}}, \ \sqrt{2+\sqrt{2+\sqrt{2+}}}...$ converges and find its limit.
88365
Prove the sequence converge and find its limit
19657
Does the recursive sequence $a_1 = 1, a_n = a_{n-1}+\frac{1}{a_{n-1}}$ converge?
55464
Convergence of sequence given by $x_1=1$ and $x_{n+1}=x_n+\sqrt{x_n^2+1}$
81052
Determining a limit of parametrized, recursively defined sequence $a_{n+1}=1+\frac{(a_n-1)^2}{17}$