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Math Help - Analysis question

  1. #1
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    Analysis question

    Let x_{0} element of N. Then there is a sequence (x_{n}) that converges at x_{0} but has no terms that are nutural numbers.

    Is that true?

    Thank you
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  2. #2
    MHF Contributor red_dog's Avatar
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    It's true.
    For example: x_n=x_0+\frac{1}{n+1}, \ n\geq 1
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