Determine this limit to infinity – math.stackexchange.com

Determine this limit to infinity – math.stackexchange.com

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Determine $$\lim_{n\to \infty} n\left(1+(n+1)\ln \frac{n}{n+1}\right)$$ I noticed the indeterminate case $\infty \cdot 0$ and I tried to get them all under the $\ln$, but it got more complicated and I ...

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