I am trying to prove that some particular infinite series is Cauchy. Of course, I know what it means for a sequence to be Cauchy, but I can't seem to find anything related to Cauchy series. Could someone help me to interpret the meaning of this?
Maybe it means that the sequence of partial sums is Cauchy?
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$\begingroup$As you assumed, a series is Cauchy if the sequence of its partial sums is a Cauchy sequence.
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