Help Solving Limit Equation Using Taylor's Formula - Desperate!

[Unsu]

Hey! Could anyone post solvation of lim x->+eternety (x - x^2*ln(1 + 1/x)) using Taylors formula? Need to go to exam in 1 hour, would be so thankful for person who could answer thatin this time :D (desperate)

 

[Unsu]

P.s.: not full solvation ofc, just main steps