I have been given this sequence:
I have to find if it converges or diverges as n -> infinity
What i did:
Divided numerator/denominator by root n.
[sin (6n)/root n]/[(8/root n) + 1]
as n -> infinity, the bottom converges to 1.
I'm not sure how to evaluate the top. How do you evaluate sin infinity? sin can vary between -1 to 1.