Question: n = 1 ( - 1 ) n c o s ( 1 n 2 ) When we apply the alternating series test, we see

n=1(-1)ncos(1n2) When we apply the alternating series test, we see that its limit is not 0 and it is not decreasing. Can we conclude that it is divergent for certain or should we apply other tests to see if it is convergent or divergent?

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