If limn→∞anbn=0\lim_{n \to \infty} \frac{a_n}{b_n} = 0limn→∞bnan=0 and ∑bn\sum b_n∑bn converges, what can you conclude about ∑an\sum a_n∑an?
∑an\sum a_n∑an converges
∑an\sum a_n∑an diverges
No conclusion
∑an\sum a_n∑an must be 0