For each of the following series, tell whether or not you can apply the 3-condit

Question

For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). If you can apply this test, enter D if the series diverges, or C if the series converges. If you can't apply this test (even if you know how the series behaves by some other test), enter N. sigma^infinity_n=1)-1)^n n!/e^n sigma^infinity_n = 1 (-1)^n/n^2 + 5 sigma^infinity_n = 1 (-1)^n n!/n^n sigma^infinity_n = 1 (-1)^n n^n/n! sigma^infinity_n = 1 (-1)^n e^n/n! sigma^infinity_n = 1(-1)^n cos (n pi)/n^5

Explanation / Answer

(1) D

(2) C

(3) C

(4) D

(5) C

(6) C

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