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

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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