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Graduate How to evaluate this infinite series?
Hi Guys, Is this series really difficult, has anybody tried to evaluate it? I've tried some ideas but without success: 1) using the laplace transform to evaluate summation (likewise: http://mathdl.maa.org/images/cms_upload/A_Laplace_Transform18380.pdf) The problem is that in this case I need...- ludwig.van
- Post #3
- Forum: Calculus
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Graduate How to evaluate this infinite series?
Hello, Could anybody help with this series: $\sum_{n=0}^\infty e^n/(e^n+1)^{a-1},\,\, a>2. $ I tried (without success) to adapt the Riemann integral theorem and the laplace transform. For the latest, I will need to find the inverse laplace transform of $e^n/(e^n+1)^(a-1)$, which does...- ludwig.van
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- Infinite Infinite series Series
- Replies: 4
- Forum: Calculus