Calculus: We verify the convergence of the series for n!/n^n by using the Ratio Test and the Direct Comparison Test. For the Ratio Test, we use the limit of (1+1/n)^n equals e. For the Direct Comparison Test, we compare with the p-series 2/n^2.
Tagged under: Mathematics,calculus,sequence,series,convergence,divergence,ratio,test,direct,comparison,-series,exponential,partial,sum
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