Hello. Need some help on solving this one:
Review the convergence of the following serie:
$\displaystyle 1+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+...+\frac {1}{n!}+...$
Thanks in advance.
Ok, thanks.
I knew it was convergent in the first place. By ratio test i see that it is convergent.
I've tested for n=50 and I see that it converges to number $\displaystyle e$, it approximates up to 14 digits. But can I come to number $\displaystyle e$ somehow analitycally?