Answer: Sufficient conditions:
Because 0
Therefore, ab
Therefore, it is not a sufficient condition.
Necessary conditions:
B< 1/a can't infer 0.
So it is not a necessary condition.
So the final conclusion is that it is neither a sufficient condition nor a necessary condition.
I hope you will be satisfied with my answer. But when answering questions in the examination room, it is best to choose the simplest and fastest way to do it.