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Thread: Looking for a Sequence

  1. January 14th 2012, 07:36 AM #1
    gotmejerry
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    Looking for a Sequence

    Hello! Can you show me a Sequence where a_n+1 -a_n -->0 but it is not a Cauchy-sequence?
    Thank you!
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  2. January 14th 2012, 08:06 AM #2
    CaptainBlack
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    Re: Looking for a Sequence

    Quote Originally Posted by gotmejerry View Post
    Hello! Can you show me a Sequence where a_n+1 -a_n -->0 but it is not a Cauchy-sequence?
    Thank you!
    The harmonic series is not Cauchy (since it does not converge), now check on what happens to a_{n+1}-a_n for the harmonic series.

    CB
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