# ᴊ ᴀ s ᴏ ɴ

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I'm deeply impressed by mathematics.

# 168 Questions

 21 Seems that I just proved $2=4$. 16 Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer. 15 Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$ 15 Solve $x^x=2x$ where $x\in\mathbb C$. 14 Show that $\frac 1 {\sqrt{x+y}}+\frac 1 {\sqrt{y+z}}+\frac 1 {\sqrt{z+x}}\geq2+\frac 1 {\sqrt2}$.

# 4,429 Reputation

 +20 Difference between $\sqrt [q]{x^p}$ and $x^{p/q}$? +5 “The space of all lines on a plane is an open Möbius Band.” +10 Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$? +5 Prove that $H$ is the orthocenter of $\Delta ABC$.

 23 Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$? 10 How to simplify an expression like this: $(x^2+x^{-2}-2)^{1/2}$ 8 Evaluating tetration to infinite heights (e.g., $2^{2^{2^{2^{.^{.^.}}}}}$) 7 Show that $d/dx (a^x) = a^x\ln a$. 6 How to prove two trigonometric identities

# 76 Tags

 32 trigonometry × 12 8 exponentiation × 2 26 algebra-precalculus × 33 8 recursion 25 calculus × 30 6 polynomials × 4 18 sequences-and-series × 19 6 roots × 3 11 homework × 16 5 integration × 10

# 4 Accounts

 Mathematics 4,429 rep 1635 Chemistry 115 rep 4 Physics 102 rep 3 TeX - LaTeX 101 rep