Question

Determine whether the following infinite series are convergent or divergent.

a. 1 + ½ + 1/6 + 1/24 +…..

Answer 1

use the ratio test...(also this is a well known series)

Answer 2

thanks

Answer 3

with the ratio test i got 1, is this correct?

Answer 4

no

Answer 5

it looks like your series is

\[\sum_{n=1}^{\infty}\frac{1}{n!}\]

Answer 6

the ratio test will give a value of 0

notice that \(\displaystyle\sum_{n=1}^{\infty}\frac{1}{n!}=e-1\)