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Infinite Serieseasy
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If ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞​an​ is a series of positive terms and lim⁡n→∞an1/n2=5\lim_{n \to \infty} \frac{a_n}{1/n^2} = 5limn→∞​1/n2an​​=5, what is the convergence of ∑an\sum a_n∑an​?