Explore BrainMass

Explore BrainMass

    Series converges

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf

    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.