Why isn't $e^{2\pi xi}=1$ true for all $x$?
56745
Why does this not work with an imaginary exponent?
82361
How do you prove that $p(n \xi)$ for $\xi$ irrational and $p$ a polynomial is uniformly distributed modulo 1?
92627
How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?
40537
How to prove $\int_0^\infty e^{-x^2}cos(2bx) dx = \frac{\sqrt{\pi}}{2} e^{-b^2}$
19216
Proving that $\arctan(x)+\arctan(1/x)=\pm \pi/2$, could this line of reasoning possibly be correct?
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
17620
Why the principal value of complex number argument is taken within $(-\pi,\pi]?$
6892
Why is it not true that $\int_0^{\pi} \sin(x)\; dx = 0$?
35529
Prove that $\sin x+2x\ge\frac{3x(x+1)}{\pi}$ for all $x\in [0,\frac{\pi}{2}]$
120719
Why isn't it $E \approx 27.642 \times mc^2$?
158627
$e^{\left(\pi^{(e^\pi)}\right)}\;$ or $\;\pi^{\left(e^{(\pi^e)}\right)}$. Which one is greater than the other?
102138
Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
68315
Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?
21003
Comparing $\pi^e$ and $e^\pi$ without calculating them
126484
Why is $\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}$?
140459
Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
48086
Why is this series of square root of twos equal $\pi$?