Which of the following sequences converge?

iv converges as it's a constant: a(1) = sin 1π = 0; a(2) = sin 2π = 0, a(3) = sin 3π = 0 ; all terms will be 0.
iii alternates between -1 and 1
i will also eventually alternate between -1 and 1 (or at least values that are really close to that)

ii which eventually has a limit of 0 (but just gets closer and closer without actually reaching it)

so I'd say ii and iv

I hope someone else will confirm this.... or let me know it's wrong and why...

(i) Converge >================< ANSWER

(II) cONVERGE >================< ANSWER

(iii) Oscilatory >================< ANSWER

(iv) Oscilatory >================< ANSWER