Ratio Test
Last updated
Last updated
THIS TEST IS GOOD FOR FACTORIALS.
▼Refer to xaktly: Ratio test / root test
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:
