Given that an > 0 and bn > 0 for all n, and that lim n→inf an/bn = l where l=/0 and l=/ inf, determine which of the statements, if any, are possible according to the limit comparison test?
1) Statement 1: If l > 0, then the series an and bn both converge or both diverge.
2) Statement 2: If l = 0, then the series an converges if the series bn converges.
3) Statement 3: If l = inf, then the series an diverges if the series bn diverges.
4) Statement 4: If l < 0, then the series an and bn both converge or both diverge.
5) Statement 5: None of the above statements are possible.