Question

need help with this series problem

Answer 1

\[\sum_{k=1}^{\infty} \frac{ 3^{k} }{ k! k }\]

Answer 2

and use the limit comparison test please

Answer 3

@zepdrix @freckles

Answer 4

i got this one wrong on a test :(

Answer 5

are you testing convergence ?

Answer 6

not sure

Answer 7

whats the exact question ?

Answer 8

use the limit comparison test to establish convergence or divergence series

Answer 9

Ohk... you may use below geometric series for comparison :
\[\sum\limits_{k=1}^{\infty} \dfrac{3^k}{4^k}\]

Answer 10

okay thats a geometric series right?

Answer 11

and its less than one so the whole series converges right?

Answer 12

Yes, since \(r = \dfrac{3}{4}\lt 1\), it converges.

compare that with your series

Answer 13

okay i'll draw it out