Why is $a=e$ the smallest number such that $a^x\ge 1+x$ for all $x$?
88328
Proof of $1+x\leq e^x$ for all x?
154133
Flawed proof by induction that $a^{n-1}=1$
103801
$xT=x$ iff $x=e$ implies that every $g$ may be written as $x^{-1}(xT)$ for some $x\in G$.
90537
Converse of Fermat's Little Theorem.
149576
$x(a^{1/x}-1)$ is decreasing
39270
Showing that $e^x > 1+x$
96327
Show that $a^x+b^x+c^x>(a+b+c)^x$ for all $a,b,c>0$ and $0<x<1$
58741
Operator Exponential $e^A e^B = e^{A+B}$
52115
Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction
118212
Is it true that $A^A\simeq P(A)$?
133481
How to find the smallest number with just $0$ and $1$ which is divided by a given number?
3101
Meaning of a set in the exponent
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
6874
smallest value of $k$ for which $a_k$ is $0$
49444
Why isn't $e^{2\pi xi}=1$ true for all $x$?
128285
Why is $ \sum_{n=0}^{\infty}\frac{x^n}{n!} = e^x$?
35277
Why is $\mathbb{E}[X] = 1 + \sum^\infty_{k=1}\mathbb{P}(X > k)$ true?