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Why does the euler-mascheroni constant show up here?

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Why does the euler-mascheroni constant show up here?
>>
>>9112857
Your sum, if taken to infinity, is x/(1+x^2)^2.

critical points at +/- 1/sqt(3)

Not the euler constant.

It is 3sqrt(3)/16
>>
>>9113022
the euler-mascheroni constant is 1/sqt(3) (to within error)
>>
>>9114430
>to within error
Literally kill yourself.
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