Hi.

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.