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[tex] \lim_{n \to \infty} nln((n+1)/n)[/tex]

Răspuns :

[tex] \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=[/tex]lne=1