The divergence test applied to the series $$\sum_{k=1}^{\infty} \frac{7k}{(3k+8)^2}$$ tells us that the series converges.
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Let $a_k = \frac{7k}{(3k+8)^2}$. We want to find $\lim_{k \to \infty} a_k$. Show more…
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