Question

Show that the sequence converges: ((n+3)/n)^(4n)

Answer 1

use ratio test...

Answer 2

I tried, but I got a limit >1, which would conclude that the sequence diverges, which I know that it doesn't. I assume that I did some algebra wrong in there, it got messy.

Answer 3

lim n----->infinity mod (a(n+1)/a(n)) <1 then sequence converges

Answer 4

can u post ur calculation...

Answer 5

u got the limit?

Answer 6

limit is 1...so ratio test fails.

Answer 7

it comes like...e^12/ e^12=1

Answer 8

Sorry i had to go to class, I wasn't ignoring your questions. Thanks for the help though, I asked my prof as well and it all came together