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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Originally Posted by gotmejerry 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 $\displaystyle a_{n+1}-a_n$ for the harmonic series. CB
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