An unknown limit with nth root: $\lim\limits_{n\to\infty}n(x^{1/n}-1)$
37394
How to find $\lim\limits_{n\to\infty} n·(\sqrt[n]{a}-1)$?
50673
Limit of ${a_n}^{1/n}$ is equal to $\lim_{n\to\infty} a_{n+1}/a_n$
52331
What is $\lim_{n\to \infty }\left(\sqrt[\leftroot{-2}\uproot{2}n+1]{(n+1)!}-\sqrt[\leftroot{-2}\uproot{2}n]{n!}\right)$?
104878
What is the limit $\lim\limits_{n \to \infty} \frac{n^{\sqrt{n}}}{2^n}$?
97747
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
16739
The Limit of $x\left(\sqrt[x]{a}-1\right)$ as $x\to\infty$.
119145
$\lim\limits_{n\rightarrow\infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$
99752
how does one solve $\lim_{n\to \infty} (\frac{n^{2}-2n+1}{n^{2}-4n+2})^{n}$
64001
What is the result of $\lim\limits_{x \to 0}(1/x - 1/\sin x)$?
19512
Limit $c^n n!/n^n$ as $n$ goes to infinity
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
98306
Limit of $n/\ln(n)$ without L'Hôpital's rule
109489
How to solve $ \lim_{n\to\infty} \frac {(n!)^\frac{1}{n}}{n} $?
36648
The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
1635
Find $\lim_{n \to \infty} \sqrt[n]{n!}$.
65275
Finding $\lim\limits_{x\to1^-}\Bigl(\prod\limits_{n=0}^{\infty}\Bigl(\frac{1+x^{n+1}}{1+x^n}\Bigr)^{x^n}\Bigr)$
106527
Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$