> 
> How do I evaluate this without using Taylor expansion?
> 
> 
> $$\lim\_{x \to \infty}x^2\log\left(\frac {x+1}{x}\right)-x$$
> 
> 
> 

**Note**: I used Taylor expansion at $z=0$ and I have got $\frac{-1}{2}$

Thank you for any help