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1-1-2pi-2-2-1-1-pi-2-2-1-1-1-pi-2-2-1-1-2pi-2-2-csc-2-1-pi-pi-2-




Question Number 135647 by Dwaipayan Shikari last updated on 14/Mar/21
...+(1/((1−2π^2 )^2 ))+(1/((1−π^2 )^2 ))+1+(1/((1+π^2 )^2 ))+(1/((1+2π^2 )^2 ))+...=((csc^2 ((1/π)))/π^2 )
$$…+\frac{\mathrm{1}}{\left(\mathrm{1}−\mathrm{2}\pi^{\mathrm{2}} \right)^{\mathrm{2}} }+\frac{\mathrm{1}}{\left(\mathrm{1}−\pi^{\mathrm{2}} \right)^{\mathrm{2}} }+\mathrm{1}+\frac{\mathrm{1}}{\left(\mathrm{1}+\pi^{\mathrm{2}} \right)^{\mathrm{2}} }+\frac{\mathrm{1}}{\left(\mathrm{1}+\mathrm{2}\pi^{\mathrm{2}} \right)^{\mathrm{2}} }+…=\frac{{csc}^{\mathrm{2}} \left(\frac{\mathrm{1}}{\pi}\right)}{\pi^{\mathrm{2}} } \\ $$

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