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I'm deeply impressed by mathematics.

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115 Questions

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18	Seems that I just proved $2=4$.
16	Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
13	Show that $\sqrt[3]{2+\frac {10} 9\sqrt 3}+\sqrt[3]{2-\frac {10} 9\sqrt 3}=2$
13	If $f(x)\leq f(f(x))$ for all $x$, is $x\leq f(x)$?
11	Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.

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2,780 Reputation

+45	Find the minimum of $q$.
+5	Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
+5	Direct proof for the irrationality of $\sqrt 2$.
-2	Seems that I just proved $2=4$.

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34 Answers

votes activity newest

10	How to simplify an expression like this: $(x^2+x^{-2}-2)^{1/2}$
7	Evaluating tetration to infinite heights (e.g., $2^{2^{2^{2^{.^{.^.}}}}}$)
7	Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
6	$\frac{\mathrm d} {\mathrm dx}\sqrt{1/e^x}=$?
5	Help with following equality

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55 Tags

22 algebra-precalculus × 26	7 exponentiation × 2
16 calculus × 24	7 recursion
11 sequences-and-series × 15	6 roots × 3
10 trigonometry × 11	6 polynomials × 2
8 homework × 14	3 integral × 7

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