Kunnysan

### Answers (60)

 11 Prove that $\sqrt 2 + \sqrt 3$ is irrational 10 Finding the Galois group of $x^6-x^5+x^4-x^3+x^2-x+1$ over $\Bbb{Q}$ 8 How to evaluate the integral $\int_{0}^{\infty}\frac{\sin{(ax)}}{x^b} dx$ 7 Solve : $\frac{2012!}{2^{2010}}-\sum^{2010}_{k=1} \frac{k^2k!}{2^k}-\sum^{2010}_{k=1} \frac{k\cdot k!}{2^k}$ 6 How to solve $\lim_{n\to\infty} \frac {(n!)^\frac{1}{n}}{n}$?

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### Questions (9)

 5 Sum of square of absolute values of roots of a polynomial 2 An integration over $\mathrm{SU}(n)$ 2 Density and Pointwise convergence imply strong convergence for Bi-orthogonal system? 2 Definition of Hyperbolic n-space 2 Projection of vector on subspaces in a Hilbert space

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 24 number-theory × 16 15 integration × 7 24 sequences-and-series × 9 14 algebra-precalculus × 3 21 analytic-number-theory × 10 12 prime-numbers × 8 21 calculus × 9 11 radicals 16 elementary-number-theory × 6 11 rationality-testing

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