Just off the top of my head, and without being exactly sure what you're asking, could you try ?
I have a statement I must prove or disaprove with a counter example, The statement is:
For each series bn that goes to infinity (bn -> inf), exists a series an that has both of these properties:
1.The series an converges
2.The series an*bn diverges.
My intuition says the statement is true, but Im struggling proving it.
Thanks a lot,