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Math Help - Unbounded sequences

  1. #1
    0-)
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    Unbounded sequences

    Can someone give me an example of two distinct unbounded sequences (x_n) and (y_n) where:

    |x_n-y_n| \rightarrow 0 as n \rightarrow \infty.

    I can't think of any so just one example should help me understand the topic better.
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  2. #2
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    Hello,
    Quote Originally Posted by 0-) View Post
    Can someone give me an example of two distinct unbounded sequences (x_n) and (y_n) where:

    |x_n-y_n| \rightarrow 0 as n \rightarrow \infty.

    I can't think of any so just one example should help me understand the topic better.
    x_n=n and y_n=\frac 1n+n ?
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