How to prove that $\pi^{e^{\pi^e}}<e^{\pi^{e^{\pi}}}$
158627
$e^{\left(\pi^{(e^\pi)}\right)}\;$ or $\;\pi^{\left(e^{(\pi^e)}\right)}$. Which one is greater than the other?
103536
How to prove $|e^{i\theta} - 1| \leq |\theta|$?
42976
How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$
120906
Is there a proof that $\pi \times e$ is irrational?
68858
Prove that $\prod_{n=2}^∞ \left( 1 - \frac{1}{n^4} \right) = \frac{e^π - e^{-π}}{8π}$
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
90796
Inequality Regarding e
111406
Proving that a definition of e is unique
27086
proof for $\langle q| p \rangle = e^{ipq}$
40537
How to prove $\int_0^\infty e^{-x^2}cos(2bx) dx = \frac{\sqrt{\pi}}{2} e^{-b^2}$
8358
Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
104548
Geometric proof for irrationality of $\pi$
47895
Prove $\lim\limits_{n\to\infty}n^{-1/(p+1)}(1^{1^p}\cdot 2^{2^p}\cdots n^{n^p})^{n^{-p-1}}=e^{-1/(p+1)^2}$
24558
Show that $\frac{1}{\sqrt{2\pi}} \cdot \left(\int_{- \infty}^{\infty} e^{itx} \cdot e^{-\frac{1}{2}t^2 } dx \right) = e^{-\frac{1}{2}t^2}$
95145
Does $\exp(2ir\pi)$ equal $1$? What's wrong?
149889
Prove that $|\log(1 + x^2) - \log(1 + y^2)| \le |x-y|$
138819
Prove that $\phi(n) \geq \sqrt{n}/2$