1. The problem statement, all variables and given/known data let bk>0 be real numbers such that Ʃ bk diverges. Show that the series Ʃ bk/(1+bk) diverges as well. both series start at k=1 2. Relevant equations From the Given statements, we know 1+bk>1 and 0<bk/(1+bk)<1 3. The attempt at a solution I've tried using comparison test but cannot find anything that's definitely less than bk/(1+bk). Iv'e tried the ratio test but i get stuck with a bunch of bk+1's that I cannot do anything with. Some help or at least a push in the right direction would be much appreciated. Thank you. I'm also kinda in a rush haha.