# Math Help - Analysis- Subsequences

1. ## Analysis- Subsequences

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
Vn=(0,0,0,0...)
Xn=(1,1,1,1...)
Un=(2,3,4,5...)

please let me know if I am correct on this.

2. ## Re: Analysis- Subsequences

Originally Posted by leonhart
For the given sequence, fiubseqund 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
Vn=(0,0,0,0...)
Xn=(1,1,1,1...)
Un=(2,3,4,5...)
please let me know if I am correct on this.
Those are correct. But the subsequence $u_n$ is not unique.
So you cannot list the subsequences.