Monday 27 February 2017

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

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