MAT21C-Mulase-Spring-2017.hw2-mulase - Hyug Her Assignment...

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Hyug Her MAT21C-Mulase-Spring-2017 Assignment hw2-mulase due 04/17/2017 at 08:00am PDT 1. (1 pt) For each of the following, enter C if the series is convergent and D if the series is divergent. (1 pt) (a) Use the comparison test to carefully determine if n = 1 2. (1 pt) For each of the following, carefully determine = 1 , B = , C = . 3. (1 pt) (a) Use the comparison test to carefully determine if n = 1 A = 1 , B = , C = .
whether the series converges or not. (a) n = 1 n 5 n ! A. converges B. diverges (b) n = 1 ( - 1 ) n - 1 6 n n 5 A. converges B. diverges (c) n = 1 6 + sin ( n ) n 5 + 5 A. converges B. diverges (d) n = 1 n ( n + 5 ) n 3 + 6 n 2 A. converges B. diverges n n 7 n n 3 n n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Compar- ison Test. The second is C if the given series converges, or D if it diverges. So for instance, if you believe the series converges and can be compared with series C above, you would enter CC; or if you believe it diverges and can be compared with series A, you would enter AD.