log(x)-gamma x+1/24 (6 gamma^2+pi^2) x^2+1/18 x^3 (-gamma^3-(gamma pi^2)/2+psi^(2)(1))+1/96 x^4 (gamma^4+gamma^2 pi^2+(3 pi^4)/20-4 gamma psi^(2)(1))+(x^5 (-12 gamma^5-20 gamma^3 pi^2-9 gamma pi^4+120 gamma^2 psi^(2)(1)+20 pi^2 psi^(2)(1)+12 psi^(4)(1)))/7200+(x^6 (168 gamma^6+420 gamma^4 pi^2+378 gamma^2 pi^4+61 pi^6-3360 gamma^3 psi^(2)(1)-1680 gamma pi^2 psi^(2)(1)+1680 psi^(2)(1)^2-1008 gamma psi^(4)(1)))/725760+O(x^7)+constant
e va all'infinito in questa maniera
