FoxTrot Series - Eufisky - The lost book
Ahmed’s integrals 和 Coxeter’s integrals
利用导数不等式进行数列求和估计

FoxTrot Series

Eufisky posted @ 2015年12月17日 18:36 in 数学分析 with tags 级数计算 , 1050 阅读

这里,介绍了FoxTrot Series.

\[F = \sum\limits_{n = 1}^\infty  {\frac{{{{\left( { - 1} \right)}^{n + 1}}{n^2}}}{{{n^3} + 1}}}  = \frac{1}{3}\left[ {1 - \ln 2 + \pi \mathrm{sech}\left( {\frac{{\sqrt 3 }}{2}\pi } \right)} \right].\]

另外,在这里有一些极限讨论

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