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Math Help - Analysis- Subsequences

  1. #1
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    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.
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  2. #2
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    Re: Analysis- Subsequences

    Quote Originally Posted by leonhart View Post
    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.
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