For the given sequence, find the set S of subsequential limits

_{Wn}= (0,1,2,0,1,3,0,1,4...)

I know the answer to be

S={0,1,infinity}

I am just trying to figure out what the subsequences are.

I tried thinking of them to be

V_{n}=(0,0,0,0...)

X_{n}=(1,1,1,1...)

U_{n}=(2,3,4,5...)

please let me know if I am correct on this.