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Question Number 134750 by mnjuly1970 last updated on 06/Mar/21

               .....advanced   calculus....     prove   that::                   𝛗=Σ(1/(n^3 sin((√2) πn))) =((−13(√2) π^3  )/(720))       ...m.n...

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:.....{advanced}\:\:\:{calculus}.... \\ $$$$\:\:\:{prove}\:\:\:{that}::\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\Sigma\frac{\mathrm{1}}{{n}^{\mathrm{3}} {sin}\left(\sqrt{\mathrm{2}}\:\pi{n}\right)}\:=\frac{−\mathrm{13}\sqrt{\mathrm{2}}\:\pi^{\mathrm{3}} \:}{\mathrm{720}} \\ $$$$\:\:\:\:\:...{m}.{n}... \\ $$

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