Explore BrainMass
Share

Infinite Series : Convergent Series of Nonnegative Terms

1. Show that if the infinite sum∑∞xn is a convergent series of non-negative terms, must ∑∞√nxn+1 be convergent? Prove or give a counterexample.

2. Find the value of ∑∞n=2 ln(1-1/n2).

© BrainMass Inc. brainmass.com August 18, 2018, 4:05 am ad1c9bdddf

Attachments

Solution Summary

A convergent series of nonnegative terms is investigated. The solution is detailed and well presented.

$2.19