### Questions (147)

 6 Calculate $\lim _{n\rightarrow +\infty} \sum _{k=0}^{n} \frac{\sqrt{2n^2+kn-k^2}}{n^2}$ 6 For which $a>0$ series is convergent? 6 Find Jordan normal form and basis 5 Calculate in how many different ways can rotated square 5 Calculate $\lim_{x\to 0} \frac{1}{x^2}\int^{1-\cos x}_{\sqrt{ x^7}} \ln (2+\tan^2 t)\,dt$

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### Tags (54)

 0 real-analysis × 76 0 limits × 4 0 linear-algebra × 27 0 abstract-algebra × 4 0 combinatorics × 17 0 permutations × 4 0 elementary-set-theory × 8 0 polya-counting-theory × 4 0 group-theory × 8 0 analysis × 3

### Bookmarks (22)

 54 Finding $\int x^xdx$ 13 Closed form for the area of a convex cyclic n-gon, given the set of edge lengths 7 what are pivot numbers in LU decomposition? please explain me in an example 6 Find $\frac{\partial^2 f}{\partial x \partial y}(0, 0)$ given that $\lim_{(x, y) \to (0,0)} \frac{f(x, y) - \tan{(x)}\sin{(y)}}{x^2 + y^2} = 0$. 5 Integrate: $\int x(\arctan x)^{2}dx$

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