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Math Help - cauchy sequence

  1. #1
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    cauchy sequence

    prove or disprove that if   x_n is Cauchy sequence with
      x_n >0 \ , \forall n \in N \ then \ \frac{1}{x_n}
    is also a Cauchy sequence .
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by flower3 View Post
    prove or disprove that if  x_n is Cauchy sequence with
     x_n >0 \ , \forall n \in N \ then \ \frac{1}{x_n}
    is also a Cauchy sequence .
    What do you think? Do you have an idea as to which it may be?
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  3. #3
    Senior Member Shanks's Avatar
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    I think the statement is false!
    for example: x_n=\frac{1}{n}
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