Why $\lim_{x\to\infty}\ (\Gamma(x)^{1/x})'=1/e$
127107
Evaluate $\lim_{x\to \infty}\ (x!)^{1/x}$
67645
Prove that $\displaystyle{\lim_{n \to \infty}a_n ^{1/k}}= a^{1/k}$ if $a_n \ge 0$ for all $n$ and $\displaystyle{\lim_{n \to \infty}a_n}= a$
11912
Is it true that $\displaystyle \left( \lim_{n \to \infty} x_n \right)^\alpha = \lim_{n \to \infty} x_n^\alpha $
132738
Showing $\lim_{n \to \infty} m(E_n) = 0$, assuming $f > 0$ a.e. and $\lim_{n \to \infty} \int_{E_n}f \,dm =0$
103870
$3.\lim_{n\to\infty}\langle x,e_n\rangle=?$
154286
Evaluating $\lim_{n \to \infty} (1 + 1/n)^{n}$
116423
What is wrong with the argument $1 = \lim_{n\to \infty} n/n = \lim_{n\to\infty} (1/n+1/n+\dotsb+1/n) = 0 $?
10093
$\lim_{x\to \infty}e^{-x^2}\int_x^{x+1/x}e^{t^2}dt$
32744
A clarification in a limit
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
57203
Prove that $\lim_{x \to \infty}\big(\frac{x}{x-1}\big)^x$ is also $e$.
32853
Computing $\lim_{A\to\infty} \frac{1}{A} \int\limits_1^A \! A^{\frac{1}{x}} \, \mathrm{d}x.$
40019
Showing that $\gamma = -\int_0^{\infty} e^{-t} \log t \,dt$, where $\gamma$ is the Euler-Mascheroni constant.
26338
Does $1^{\infty}=e$ or $1^{\infty}=1$?
119200
When does $\lim_{n\to\infty}f(x+\frac{1}{n})=f(x)$ a.e. fail
72400
Why don't I get $e$ when I solve $\lim_{n\to \infty}(1 + \frac{1}{n})^n$?
34496
Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$