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

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

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