Ratio Test
Last updated
Last updated
THIS TEST IS GOOD FOR FACTORIALS
.
Apply the ratio test
:
L = 0
, so the series absolutely converges.
Apply the ratio test
, let a_(n+1) / a_n
.
The trick is to know: (n+1)! = (n+1)·n!
, and (n+8)! = (n+8)·(n+7)!
Take the limit to get:
According to the ratio test, if L = 1
, then there's no conclusion.
Solve:
Solve: