Limit of nth roots of product of a sequence's terms.
107142
If $(x_n) \to x$ then $(\sqrt[n]{x_1x_2\cdots x_n}) \to x$
78127
Convergence of non increasing and non decreasing sequences to the same limit
76290
arithmetic mean of a sequence converges
144786
Show that the following inductively defined sequence converges and find its limit.
73934
Subadditive sequences and the limit $\sup_{n\to\infty} a_n / n$
59113
Convergence of product of convergent series
20136
Convergence of the sequence $ \sqrt {n-2\sqrt n} - \sqrt n $
14836
A polynomial sequence
57778
Convergence in Distribution of the maximum of a sequence.
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
27284
Show that the sequence $\sqrt{2}, \ \sqrt{2+\sqrt{2}}, \ \sqrt{2+\sqrt{2+\sqrt{2+}}}...$ converges and find its limit.
138052
How to work out the limit of  this bounded sequence?
115111
Limit of the sequence $nx_{n}$ where $x_{n+1} = \log (1 +x_{n})$
10451
Finding the limit of roots products $(\sqrt{2}-\sqrt[3]{2})(\sqrt{2}-\sqrt[4]{2})(\sqrt{2}-\sqrt[5]{2})\cdot \cdot \cdot (\sqrt{2}-\sqrt[n]{2})$
5797
Limit of the sequence $a_n=\sqrt[n+1]{(n+1)!}-\sqrt[n]{n!}$
26837
Limit of the sequence $\{n^n/n!\}$, is this sequence bounded, convergent and eventually monotonic?
31740
Nested roots sequence, how to prove it's monotone and bounded?