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n-0-2n-1-e-2n-1-pi-1-1-24-by-Mr-Levent-




Question Number 165512 by amin96 last updated on 02/Feb/22
Σ_(n=0) ^∞ ((2n+1)/(e^((2n+1)π) +1))=^? (1/(24))  −−−−−−−−−−−−−−by Mr. Levent
$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{2}\boldsymbol{\mathrm{n}}+\mathrm{1}}{\boldsymbol{\mathrm{e}}^{\left(\mathrm{2}\boldsymbol{\mathrm{n}}+\mathrm{1}\right)\pi} +\mathrm{1}}\overset{?} {=}\frac{\mathrm{1}}{\mathrm{24}} \\ $$$$−−−−−−−−−−−−−−\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{Mr}}.\:\boldsymbol{\mathrm{Levent}} \\ $$

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