Cortizol

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29 Answers

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8	Find $\lim\limits_{n \rightarrow \infty}\dfrac{\sin 1+2\sin \frac{1}{2}+\cdots+n\sin \frac{1}{n}}{n}$
7	Find $\sum\limits_{k\, \text{ odd}} \frac{2(k^2-1)}{k^4+k^2+1}$
6	Evaluating $\int \frac{1}{{x^4+1}} dx$
4	Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
3	Integrate rational function $\frac{x^2}{1+x^4}$

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1,316 Reputation

+2	Intuitive understanding of the Reidemeister-Schreier Theorem
+2	Let $g$ be $C^2$, $g:U→V$ difeomorphic, $U,V⊂\mathbb{R}^n$, then there are $r>0$ and $a∈U$ such that $f(B(a,r))$ is convex
+5	Evaluate $\sum_{k=1}^{\infty} \frac{k^2-1}{k^4+k^2+1}$
+2	REVISITED$^2$: Solution in $\mathbb{R}^n \overset{?}{\implies}$ Solution in $\mathbb{Q}^n$

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14 Questions

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20	Evaluate $\sum_{k=1}^{\infty} \frac{k^2-1}{k^4+k^2+1}$
10	Using $\bigvee$ and $\bigwedge$ instead $\exists$ and $\forall$
6	How to show that $(\mathbb{Q}(\sqrt{2}))^{\times} \cong (\mathbb{Q}(\sqrt{3}))^{\times}$
6	Find $\sum\limits_{k\, \text{ odd}} \frac{2(k^2-1)}{k^4+k^2+1}$
5	How to solve $y(y'+3)=ax^2+bx+c, \quad a,b,c \in \mathbb{R}$

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39 Tags

22 calculus × 8	6 complex-analysis × 6
13 real-analysis × 9	6 integration
11 sequences-and-series × 5	4 differential-equations × 6
9 integral × 2	4 measure-theory × 5
8 limit	4 functional-analysis × 2

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$Mathematics Stack Exchange$	Mathematics	1,316 rep	319
$TeX - LaTeX Stack Exchange$	TeX - LaTeX	153 rep	5

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