Question

$\lim_{n \to \infty} nln((n+1)/n)$

Answer 1

$\lim_{n \to \infty} nln((n+1)/n)= \lim_{n \to \infty} ln( \frac{n+1}{n})^n= \lim_{n \to \infty} ln(1+ \frac{1}{n} )^n=$lne=1