If the summation of a sub n and the summation of b sub n are both series of positive terms and an bn for all n, and the summation of b sub n diverges, then...

Question

If  and  are both series of positive terms and an > bn for all n, and  diverges, then...

A
 converges

B
 diverges

C
 = 0

D

Paul M. · Accepted Answer

The series of an also diverges.

If the summation of a sub n and the summation of b sub n are both series of positive terms and an > bn for all n, and the summation of b sub n diverges, then...