Question

how to show a series whose nth term is n^k/n! converges?

Answer 1

i got that far but what next

Answer 2

Are you summing over n or k?

Answer 3

n

Answer 4

i guess k is a constant, and I can see that as long as n is big enough it will converge

Answer 5

Okay haha

Answer 6

\[u_{n}\over a_{n}\] < 1 then term with u converges

Answer 7

sorry if term in a converges

Answer 8

so if i can find a suitable term for a that converges and show that fraction < 1 i've cracked it