Why does this limit approach $e$?
64169
Why isn't $\lim \limits_{x\to\infty}\left(1+\frac{1}{x}\right)^{x}$ equal to $1$?
17754
Intuitive Understanding of the constant "$e$"
14764
Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$
27717
Compute $\lim_{x\to\infty}x\;\left[\left(1+\frac{1}{x}\right)^x-e\right]$
8450
Classical field limit of the electron quantum field
73670
Help with Limit: $\lim_{n \to \infty} \frac{(2 n)! e^n (n)^n}{n! (2 n)^{2 n}}$
64708
Proof that exponential function's limit definition increases monotonically?
26408
Evaluate a limit (probably involving L'Hôpital rule)
27788
Why is the expected value $E(X^2) \neq E(X)^2$?
134098
Understanding of the formal and intuitive definition of a limit
115028
If $e=\lim\limits_{x\to \infty} (1+x^{-1})^x$, why doesn't $e=1$?
120719
Why isn't it $E \approx 27.642 \times mc^2$?
95450
Why does $\left(1+ 1/k\right)^k$ converge to $e$ as $k \to\infty$?
95123
General solution of expected value of E(f(X))?
9484
Why does the sum of the reciprocals of factorials converge to $e$?
42031
Why the definition of limit have a strict inequality rather than not?
71743
$\lim (1+\frac{1}{n+1})^n = e$