Question

Convergent or divergent

Answer 1

\[a_n=\frac{ n! }{ 2^n }\]

@ganeshie8

Answer 2

you're talking about sequence right ?

Answer 3

Yup

Answer 4

just making sure :)

Answer 5

Just started this so trying to figure things out, don't remember what n! really means

Answer 6

Or wait so if 4! = 4*3*2*1, would n be something similar as well, like n*(n-1)*(n-2)..sort of thing?

Answer 7

I'm not sure how to really set these things up, my notes don't have anything specific.

Answer 8

the sequence won't converge if if the ratio \(\large \dfrac{a_{n+1}}{a_n}\) as n becomes large is not 1, yes ?