# Series converges

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Show that the series sun sign over it infinity sign and below it n=1 of 1/n^p converges if and only ifp>1

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:33 pm ad1c9bdddfhttps://brainmass.com/math/real-analysis/real-analysis-series-converges-26499

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We observe that if p>0 then, f(x)=x^(-p) is positive, continuous, and decreasing on [1, inf[. ...

#### Solution Summary

This is a proof regarding a convergent series.

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