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Question Number 123776 by Dwaipayan Shikari last updated on 28/Nov/20

A n o t h e r u n a n s w e r e d q u e s t i o n

\frac{l o g 1}{\sqrt{1}} - \frac{l o g 3}{\sqrt{3}} + \frac{l o g 5}{\sqrt{5}} - \frac{l o g 7}{\sqrt{7}} + . . = (\frac{π}{4} - \frac{γ}{2} - \frac{1}{2} l o g (2 π)) (\frac{1}{\sqrt{1}} - \frac{1}{\sqrt{3}} + \frac{1}{\sqrt{5}} - .)