Prove or disprove ((cos(1+(1/( (√3))))𝛑)/1^2 )+((cos(1+(1/( (√3))))2π)/2^2 )+((cos(1+(1/( (√3))))3π)/3^2 )+...=0


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Question Number 137637 by Dwaipayan Shikari last updated on 04/Apr/21

$Prove or disprove$ $\frac{c o s (1 + \frac{1}{\sqrt{3}}) π}{1^{2}} + \frac{c o s (1 + \frac{1}{\sqrt{3}}) 2 π}{2^{2}} + \frac{c o s (1 + \frac{1}{\sqrt{3}}) 3 π}{3^{2}} + . . . = 0$
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