13 Partial derivative with respect to $y$ of $(y/x)$? 11 Cantor set + Cantor set =$[0,2]$ 9 How to show $\tan \alpha$ is transcendental? 8 Convergence of $\sum\limits_{n=1}^\infty \left(\frac{2014}{n}\right)^{\frac{n}{2014}}$ 6 The limit : $\lim _{x \to \infty } \sqrt{x^2 +x} - \sqrt{x^2 +1}$

### Reputation (2,838)

This user has no recent positive reputation changes

### Questions (20)

 70 Is $0.112123123412345123456\dots$ algebraic or transcendental? 9 Evaluating $\int_{-\pi /2014}^{\pi /2014}\frac{1}{2014^{x}+1}\left( \frac{\sin ^{2014}x}{\sin ^{2014}x+\cos ^{2014}x}\right) dx$ 6 $\sum_{n=1}^{\infty}a_{n}$ diverges but $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}}$ sometimes converges and sometime diverges. 5 How do I explain Complex Analysis to my grandma? 5 Proving the function $f$ is continuous on $[0,1]$

### Tags (80)

 55 real-analysis × 43 13 partial-derivative 37 sequences-and-series × 25 13 multivariable-calculus 21 calculus × 21 11 elementary-set-theory × 8 17 general-topology × 10 11 algebra-precalculus × 5 13 transcendental-numbers × 3 11 cantor-set × 3