Math 1338 Quiz #15 (Sec. 8.2) Name: _______________________________________________ Please show all work on this page. 1. State whether the statement is true (T) or false (F). _____a. =1 converges if lim = 0. _____b. If =1 converges and =1 converges, then =1( ) converges. _____c. If lim 0, than =1 diverges. 1 1 _____d. =1 2 4 _____e. 3 + 1 2. 1 3 converges. 1 +9 1 27 + . . . is a geometric series. 2 1 Find S4 for =1 3 3 3. You are given =1 = 3 =1 4 , find each of the following: a. =1( + 3 ) b. =1 5 In exercises 4 and 5, determine whether the series converges or diverges. Be sure to show work. 2 2 1 4. =1 9 3 6 5. =1