6 If a seauenu {ak} converges, then there is a number L such that all but a finite number of the terms of {ak} lie within 1 of L. n 7 If all partial sums Sn = I ak of any series are less than some...

6 If a seauenu {ak} converges, then there is a number L such that all but a finite number of the terms of {ak} lie within 1 of L.
n 7 If all partial sums Sn = I ak of any series are less than some constant k=1 L > 0, then the series converges.
co 8 If a series I ak converges, then its partial sums Sn are bounded. That k=1 is, there are constants m and M such that m

9 Beginning at some index value k = n, a convergent sequence {ak} is always
bounded.
10. A bounded sequence (ak} is always convergent.