user39843
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# 41 Questions

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### Exist a constant $C$ satisfies $\lim_{\varepsilon \to 0^+}\int_{\varepsilon\leq |x|\leq\pi-\varepsilon}|\frac{\sin (n+1/2)x}{\sin x/2}|dx<C?$

dec 5 '13 at 16:46 Harry Peter 4,420

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### $i^{-k}\pi^{n/2}\Gamma(\frac{k}{2})/\Gamma(\frac{n+k}{2})\approx k^{-n/2}~~(k\rightarrow \infty)$

feb 6 '13 at 12:58 user39843 478

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### how to calculate $\int_{[0,1]}x^{-\alpha}dx$

dec 5 '12 at 12:40 user39843 478

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