user2345215

 48 Factor $x^4+1$ over $\mathbb{R}$ 30 Is there a maximum value between open $(0,1)$ set? 23 A continuous function on $[0,1]$ not of bounded variation 17 which is bigger $2^{n^{1.001}}$ or $n!$ 17 How to evaluate $\lim_{n\to\infty}\sqrt[n]{\frac{1\cdot3\cdot5\cdot\ldots\cdot(2n-1)}{2\cdot4\cdot6\cdot\ldots\cdot2n}}$

### Reputation (14,548)

 +10 Analysis: Prove divergence of sequence $(n!)^{\frac2n}$ +10 Proving the convergence of $\sum_{n\geq 2}\log\left(1-\frac{1}{n^2}\right)$ +10 Factor $x^4+1$ over $\mathbb{R}$ +10 If $AB=0$ prove that $rank(A)+rank(B)\leq n$

### Questions (5)

 22 Is every connected subset of the Sierpiński triangle arcwise connected? 11 Is the following subset of a plane connected? (picture) 5 Are graphs of derivatives connected? 3 Inequality problem $(a+b+c)^5\geq27(ab+bc+ca)(ab^2+bc^2+ca^2)$ 1 How to derive Jordan curve theorem for three arcs from the two arc version?

### Tags (169)

 220 calculus × 70 76 sequences-and-series × 28 170 inequality × 76 74 elementary-number-theory × 25 144 real-analysis × 68 71 polynomials × 9 132 limits × 39 64 algebra-precalculus × 33 102 general-topology × 46 62 complex-analysis × 14