How to prove that $e^\pi>\pi^e$
21003
Comparing $\pi^e$ and $e^\pi$ without calculating them
140459
Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
30385
Proving that $\frac{e^x + e^{-x}}2 \le e^{x^2/2}$
95266
Show $|t|\leq \pi \Rightarrow |e^{it}-1|\geq 2|t|/ \pi$
104548
Geometric proof for irrationality of $\pi$
117262
Proving a logarithm inequality
136195
Stuck trying to prove that $e^{-x^{-2}}$ is $C^{\infty}$
148094
Show that $e^3 > 20$
125209
Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
156881
How prove this inequality $I=\int_{0}^{\sqrt{2\pi}}\sin{x^2}dx>0$
72735
Understanding the proof of a formula for $p^e\Vert n!$
52353
Bounding Euler's e by showing $2 \leq \left (1+ \frac{1}{n}\right)^n < 3$
90796
Inequality Regarding e
109295
Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$
41191
How to prove this $\pi$ formula?
101792
By expanding $e^x$ into a series prove the following inequality
49444
Why isn't $e^{2\pi xi}=1$ true for all $x$?