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Thm: If a sequence is Cauchy than that sequence is bounded.

However Take the partial sums of the series (sigma,n->infinity)(1/n). The partial sums form a series which is Cauchy. But the series diverges so the sequence of partial sums is unbounded.

Sequence of partial sums is Cauchy b/c d(1/x,1/(x+1))=1/(k(k+1)) -> 0 as k->infinity

Have I done something wrong?

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# Homework Help: Cauchy => bounded?

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