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    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

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    Solution Preview

    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.