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- Does the series from 1 to infinity of ((-1)^(k+1))/((k+1)!) converge conditionally or converge absolutely?What is the limit as n goes to infinity of the power series (log n)2/nxn ?I need help determining if the series (-1)k times (1/radical (k-1)) from k=2 to infinity, absolutely converges, conditionally converges, or diverges.