real analysis - How do I evaluate this without using taylor expansion :$lim_{x to infty}x^2log(frac {x+1}{x})-x$?

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