1. If∑anis a divergent series with positive terms, then(a)limn→∞an6= 0.(b)∑(-1)nandiverges, too.(c) Ifbn< anfor allnthen∑bnconverges.(d) None of the above.
∑anconverges, which conditionon L would guarantee that∑bnconverges?
3. If∑(-1)nanis an alternating series and limn→∞an= 0, which further condition wouldguarantee that the series converges by AST?
4.TRUE or FALSE: If∑anand∑bnare both convergent series with positive terms,then∑anbnis also convergent.5.TRUE or FALSE: If∞Xn=1anconverges then∞Xn=1(1 + cos(an))nconverges.