Why does $(1 + x)^{1/x} $ approach $e$ as $x$ approaches $0$?
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
18244
What is the limit of this sequence? How does it relate to the exponential function?
95450
Why does $\left(1+ 1/k\right)^k$ converge to $e$ as $k \to\infty$?
64169
Why isn't $\lim \limits_{x\to\infty}\left(1+\frac{1}{x}\right)^{x}$ equal to $1$?
74919
Finding limit of function $\lim_{x\to 0}\left(\frac{(1+x)^\frac1x}{e}\right)^\frac1x$
9484
Why does the sum of the reciprocals of factorials converge to $e$?
96554
Why is $x^0 = 1$ except when $x = 0$?
53109
Why is this limit $\lim_{n \to \infty}(1 + \frac{1}{n})^n$ equal to $e$?
75571
Limit of $\sqrt x$ as $x$ approaches $0$
113289
finding the limit $\lim\limits_{x \to \infty }(\frac{1}{e}(1+\frac{1}{x})^x)^x$
128285
Why is $ \sum_{n=0}^{\infty}\frac{x^n}{n!} = e^x$?
36384
Q: $\lim_{n\to \infty}\left(1 + \frac{1}{n}\right)^{n} = e$
122603
How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$?
32744
A clarification in a limit
71743
$\lim (1+\frac{1}{n+1})^n = e$
39270
Showing that $e^x > 1+x$