For the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an, if an>0a_n > 0an>0 and ∑an\sum a_n∑an converges, what must be true about ∑an2\sum a_n^2∑an2?
It must diverge
It must converge
It may diverge
The limit limn→∞an2\lim_{n \to \infty} a_n^2limn→∞an2 must be 1