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OpenStudy (anonymous):
Does the series converge or diverge? Sum (n*cos(1/n))/(sqrt(n^5-1)), n->1 to infinity. I am assuming that you can use the comparison test with bsubn being n/sqrt(n^5) which equals 1/n^3/2. However...trying to prove which is bigger: asubn or bsubn. Is throwing me off due to the cos(1/n).
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