Can anyone provide an example of a sequence that satisfies the following definition, but it not Cauchy: for every e>0 there exists natural number N such that for every n>or=N |xn-xn+1|<e
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Originally Posted by amm345 Can anyone provide an example of a sequence that satisfies the following definition, but it not Cauchy: for every e>0 there exists natural number N such that for every n>or=N |xn-xn+1|<e How about the sequence of partial sums . It's not Cauchy since it's divergent, but , which can be made as small as desired.
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