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Convergent series and their corresponding sequences (analysis course)

  • Thread starter v.rad
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If a_n >= 0 for all n, and the series a_n converges, then n(a_n - a_n-1) --> 0 as n --> infinity.

Prove or disprove the statement using a counterexample.

I know that the statement is false...I am just having terrible difficultly finding a counterexample....
 

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