Myeonghyeon Song

 51 Does $(n+1)(n-2)x_{n+1}=n(n^2-n-1)x_n-(n-1)^3x_{n-1}$ with $x_2=x_3=1$ define a sequence that is integral at prime indices? 26 Stuck on a Geometry Problem 23 Methods to solve $\int_{0}^{\infty} \frac{e^{-x^2}}{x^2 + 1}\:dx$ 22 Integration with $\ln(x)$ in the denominator 20 Evalulate $\int_0^\infty \int_0^\infty \int_0^\infty e^{-(xy+yz+zx)}\ dx\ dy\ dz$

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### Question (1)

 4 Is the problem VIII, 1.6 of Dungundji's Topology right?

### Tags (255)

 317 real-analysis × 115 156 linear-algebra × 57 317 integration × 58 109 functional-analysis × 61 214 sequences-and-series × 48 109 probability × 55 188 calculus × 54 105 limits × 33 177 definite-integrals × 23 93 matrices × 26

### Bookmarks (136)

 923 Can I use my powers for good? [closed] 221 Does the open mapping theorem imply the Baire category theorem? 164 How far can one get in analysis without leaving $\mathbb{Q}$? 159 How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$? 156 What functions can be made continuous by “mixing up their domain”?