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Infinite Serieshard
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Determine the convergence of the series ∑n=2∞1np(ln⁡n)q\sum_{n=2}^{\infty} \frac{1}{n^p (\ln n)^q}∑n=2∞​np(lnn)q1​ where p=1p=1p=1 and qqq varies. For which range of qqq does this series converge?