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Mathematics 23 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

use ratio test...

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

can u post ur calculation...

OpenStudy (anonymous):

u got the limit?

OpenStudy (anonymous):

limit is 1...so ratio test fails.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

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