Find the limit of the sequence $\sqrt{2} ,\sqrt{2\sqrt{2}} , \sqrt{2\sqrt{2\sqrt{2}}} ,.....$ = ?
105110
Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?
50043
Limit of sequence in which each term is defined by the average of preceding two terms
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
6878
Prove limit of sequence
5072
To evaluate limit of sequence $\left(\left( 1 + \frac1n \right) \left( 1 + \frac2n \right)\cdots\left( 1 + \frac nn \right) \right)^{1/n}$
27156
Sequence Limit: $\lim\limits_{n \rightarrow \infty}{n\,x^n}$
102163
Find the sub-sequential limits of a recursive sequence
148320
Find the limit $\lim_\limits{n\to{\infty}}n^2(\sqrt[n]{x}-\sqrt[{n + 1}]{x})$ and my inquiry about Stolz-Cesàro theorem
130693
Sequence such that $\lim\limits_{n\to \infty} \frac{x_1^2+x_2^2+...+x_n^2}{n}=0$
156814
Compute the limit of the sequence ${\textstyle\sum_{k=1}^n}\frac1{\sqrt{n^2+k}}$
20136
Convergence of the sequence $ \sqrt {n-2\sqrt n} - \sqrt n $
56056
Find $\lim_{n\to\infty}2^n\underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\dots+\sqrt2}}}}_{n \textrm{ square roots}}$.
107200
Find $\lim_{n\to\infty}1+\sqrt[2]{2+\sqrt[3]{3+\sqrt[4]{4+\ldots+\sqrt[n]{n}}}}$
69717
Find limit of recursive sequence $a_{n+1} =\sqrt{2+ \sqrt{a_n} }.$
29266
Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$
133244
Finding $\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$
37260
Calculate $\lim_{n\to{+}\infty}{(\sqrt{n^{2}+n}-n)}$