Question

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

Answer 1

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