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Hei, am mare nevoie de ajutor.. Cat este[tex] \lim_{n \to \infty} (1+ \frac{1}{1!} + \frac{1}{2!} +...+ \frac{1}{n!} ) ^{n} [/tex] . Va multumesc!

Răspuns :

1+1/1!+1/2!+...+1/n!→e  Formula lui  Euler
lim(1+1/1!+1/2!+...+1/n!)^n=e^∞=∞