Plot[(Log[(1 + Sqrt[1 - 4 E^y (E^y - 1)])/2] + y)/y^2, {y,-1,Log[1/2 + 1/Sqrt[2]]}]Plot[(Log[(1 + Sqrt[1 - 4 E^y (E^y - 1)])/2] + y)/y^2, {y,-1,Log[1/2 + 1/Sqrt[2]]}]

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