Share
Explore BrainMass

Infinite Series : Convergent Series of Nonnegative Terms

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

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

Attachments

Solution Summary

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

$2.19