Question

Determine if the following sequence converges or diverges:

Answer 1

\[\sum_{n=1}^{\infty} (-1)^n/n!\]

Answer 2

ok, well if a series converges absolutely, that is \[\sum_{n=1}^{\infty} |(-1)^n/n!|\] converges then the original series converges as well.

Answer 3

so does
\[\sum_{n=1}^{\infty}| (-1)^n/n!|=\sum_{n=1}^{\infty} \frac{1}{n!}\] converge?

Answer 4

1/e and e.

Answer 5

ya