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Check all of the following that are true for the series ∑n=1∞(n−8)cos(nπ)/(n^2). Converge, diverge, integral test,...

Check all of the following that are true for the series ∑n=1∞(n−8)cos(nπ)/(n^2).
Converge, diverge, integral test, comparison test, limit comparison, ratio test, and alternation test.

Same with ∑n=1∞8^n/((4^n)-1)

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