Limit $\lim\limits_{x \to \infty} x^{1/x}$
56048
Limit at infinity of $x^{1/x}$
44668
Limit of $x\left(\left(1 + \frac{1}{x}\right)^x - e\right)$ when $x\to\infty$
41659
Limit as $x\to 0$ of $x\sin(1/x)$
31889
The limit as $n$ approaches infinity of $n(a^{1/n}-1)$
101536
Difficult limit evaluation: $\lim_{x\to\infty}(\sqrt{x^2+4x} - x)$
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
66441
Prove that $|x|<1$ implies that $\lim_{n \to \infty} x^n=0$
43852
Evaluate $\lim_{x\to 0}\frac{e^{(x+1)^{1/x}}-(x+1)^{e/x}}{x^2}$
147514
How to calculate $\lim \limits_{n \to \infty}(1 +\frac{a}{n})^n$?
19898
Limit $\lim (1+(a^{1/n}-1) / b)^n$
24941
How to evaluate $\lim_{n\to\infty}n!/n^{k}$
31866
Calculating the limit $\lim((n!)^{1/n})$
97571
Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
53688
How can one prove that $\lim_{n \to \infty}a^{1/n}=1$ for every $a>0$?
36648
The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$
89251
Limit $\lim\limits_{x\to0}{\frac{\ln{(e+x)}-e^x}{\cos^2{x} -e^x}}$